3
Mathematics and Physics of Anderson Localization: 50 Years After
http://sms.cam.ac.uk/collection/113
In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent developments in condensed matter theory. In particular, in the last 25 years the phenomenon of localization proved to be crucial for the understanding of the Quantum Hall effect, mesoscopic fluctuations in small conductors as well as some aspects of quantum chaotic behaviour.
Random Schrödinger operators are an area of very active research in mathematical physics and mathematics. Here the main effort is to clarify the nature of the underlying spectrum. In particular, it has been proved that in dimension one all states are localized, and in any dimension the random Schrödinger operator has dense point spectrum for large enough disorder. Some open mathematical problems of major importance include the longtime evolutions of a quantum particle in a weakly disordered medium and existence of absolutely continuous spectrum in three dimensions. The expected transition from localized (point spectrum) to extended eigenstates (absolutely continuous spectrum) will also be addressed.
Read more at: http://www.newton.ac.uk/programmes/MPA/
1440
2016
Wed, 01 Jun 2016 11:16:32 +0100
Thu, 21 Aug 2008 14:17:15 +0100
en
smssupport@uis.cam.ac.uk
Mathematics and Physics of Anderson Localization: 50 Years After
http://sms.cam.ac.uk/collection/113
http://rss.sms.cam.ac.uk/itunesimage/1393852.jpg
http://video.search.yahoo.com/mrss
Mathematics and Physics of Anderson Localization: 50 Years After
In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent developments in condensed matter theory. In particular, in the last 25 years the phenomenon of localization proved to be crucial for the understanding of the Quantum Hall effect, mesoscopic fluctuations in small conductors as well as some aspects of quantum chaotic behaviour.
Random Schrödinger operators are an area of very active research in mathematical physics and mathematics. Here the main effort is to clarify the nature of the underlying spectrum. In particular, it has been proved that in dimension one all states are localized, and in any dimension the random Schrödinger operator has dense point spectrum for large enough disorder. Some open mathematical problems of major importance include the longtime evolutions of a quantum particle in a weakly disordered medium and existence of absolutely continuous spectrum in three dimensions. The expected transition from localized (point spectrum) to extended eigenstates (absolutely continuous spectrum) will also be addressed.
Read more at: http://www.newton.ac.uk/programmes/MPA/
Mathematics and Physics of Anderson Localization: 50 Years After
In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent developments in condensed matter theory. In particular, in the last 25 years the phenomenon of localization proved to be crucial for the understanding of the Quantum Hall effect, mesoscopic fluctuations in small conductors as well as some aspects of quantum chaotic behaviour.
Random Schrödinger operators are an area of very active research in mathematical physics and mathematics. Here the main effort is to clarify the nature of the underlying spectrum. In particular, it has been proved that in dimension one all states are localized, and in any dimension the random Schrödinger operator has dense point spectrum for large enough disorder. Some open mathematical problems of major importance include the longtime evolutions of a quantum particle in a weakly disordered medium and existence of absolutely continuous spectrum in three dimensions. The expected transition from localized (point spectrum) to extended eigenstates (absolutely continuous spectrum) will also be addressed.
Read more at: http://www.newton.ac.uk/programmes/MPA/
Cambridge University
Steve Greenham
http://sms.cam.ac.uk/collection/113
Mathematics and Physics of Anderson Localization: 50 Years After
20080821T14:17:15+01:00
INIMS
101092
no

A supersymmetric model for quantum diffusion in 3d
ucs_sms_113_1542
http://sms.cam.ac.uk/media/1542
A supersymmetric model for quantum diffusion in 3d
Disertori, M (Rouen)
Thursday 21 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 16:11:07 +0100
108
108100
Disertori, M
Isaac Newton Institute
Disertori, M
96c66ee874899ba76143f6f7236235b0
8038af4c8164a77722edfd88a379428e
88d6607b09e068a8ed1486bbae0b1ec0
56418145bd28c833e70d80b013d7c1ff
Disertori, M (Rouen)
Thursday 21 August 2008, 10:0011:00
Anderson...
Disertori, M (Rouen)
Thursday 21 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Cambridge University
2917
http://sms.cam.ac.uk/media/1542
A supersymmetric model for quantum diffusion in 3d
Disertori, M (Rouen)
Thursday 21 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Supersymmetric approach has proved to be a powerful tool for the study of random systems in mesoscopic physics, where classical techniques do not apply. I'll give an introduction to the technique in the case of a hyperbolic sigma model. This model is expected to describe qualitatively properties of random band matrices in d dimensions such as localization and delocalization. (Joint work with T. Spencer and M. Zirnbauer).
http://www.newton.ac.uk/programmes/MPA/seminars/082110001.html
20160601T11:16:32+01:00
2917
1542
true
4x3
false
no

A two cities theorem for the parabolic Anderson model
ucs_sms_113_1336
http://sms.cam.ac.uk/media/1336
A two cities theorem for the parabolic Anderson model
Sidorova, N (UCL)
Thursday 24 July 2008, 16:0016:45
Wed, 20 Aug 2008 11:31:40 +0100
Sidorova, N
Isaac Newton Institute
Sidorova, N
d10a7ce964d14c41cf2a490beb9b5d87
7890f492dc14dde204e3a9a21d8245d9
245c23a6bbe8e6838d48d28e62eeb20d
3a7a307626ef98036366008721788c34
Sidorova, N (UCL)
Thursday 24 July 2008, 16:0016:45
Sidorova, N (UCL)
Thursday 24 July 2008, 16:0016:45
Cambridge University
3241
http://sms.cam.ac.uk/media/1336
A two cities theorem for the parabolic Anderson model
Sidorova, N (UCL)
Thursday 24 July 2008, 16:0016:45
The parabolic Anderson problem is the Cauchy problem for the heat equation u_t(t,z)=Delta u(t,z)+xi(z)u(t,z) on the ddimensional integer lattice with random potential. We consider independent and identically distributed potentials, such that the corresponding distribution function converges polynomially at infinity. If the solution is initially localised in the origin we show that, as time goes to infinity, it will be completely localised in two points almost surely and in one point with high probability. We also identify the asymptotic behaviour of the concentration sites in terms of a weak limit theorem.
20130228T13:05:09+00:00
3241
1336
true
4x3
false
no

A variant of an estimate by Minami
ucs_sms_113_1541
http://sms.cam.ac.uk/media/1541
A variant of an estimate by Minami
Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 14:51:12 +0100
Graf, GM
Isaac Newton Institute
Graf, GM
a2b60da47732d41850d304a48f21690b
a9b2633f94433ee65e04a3f3ef48269b
9130922564ba9844de9d1556974c713a
978c28dacae5ba9ee44e31309107933a
Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:0011:00
Anderson...
Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Cambridge University
2528
http://sms.cam.ac.uk/media/1541
A variant of an estimate by Minami
Graf, GM (ETH Zurich)
Wednesday 20 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 x 2 determinant of Green's functions. We generalize it so as to allow for a magnetic field, as well as to determinants of higher order (joint work with A. Vaghi). Related recent work by others will be reviewed.
http://www.newton.ac.uk/programmes/MPA/seminars/082010001.html
20130228T13:04:56+00:00
2528
1541
true
4x3
false
no

Absolutely continuous spectrum for the Anderson model on more general trees
ucs_sms_113_1214
http://sms.cam.ac.uk/media/1214
Absolutely continuous spectrum for the Anderson model on more general trees
Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:4517:30
Anderson Localization Transition: Introductory Training Course
Mon, 04 Aug 2008 06:53:45 +0100
Steve Greenham
Halasan, F
Isaac Newton Institute
Halasan, F
b8791a43d66b2c69903cb0e7eb260312
aa2ef91569c92dc19af10e71b3ac796a
2b748057ddb2899471a6f3a7430016a5
9b0c1bc4c36ab594636c65d4da90bd25
Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:4517:30
Anderson...
Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:4517:30
Anderson Localization Transition: Introductory Training Course
Cambridge University
2558
http://sms.cam.ac.uk/media/1214
Absolutely continuous spectrum for the Anderson model on more general trees
Halasan, F (British Columbia)
Tuesday 22 July 2008, 16:4517:30
Anderson Localization Transition: Introductory Training Course
We study the Anderson Model on trees that have a variation in their coordination number. Using geometric tools, we prove that the Anderson Hamiltonian has absolutely continuous spectrum for small disorder.
20130228T13:04:47+00:00
2558
1214
true
4x3
false
no

Anderson localisation and subdiffusion for the nonlinear Schrodinger equtation: results and puzzles
ucs_sms_113_1208
http://sms.cam.ac.uk/media/1208
Anderson localisation and subdiffusion for the nonlinear Schrodinger equtation: results and puzzles
Krivolapov, Y (Technion)
Monday 21 July 2008, 16:0016:45
Anderson Localization Transition: Introductory Training Course
Thu, 31 Jul 2008 10:41:09 +0100
Krivolapov, Y
Isaac Newton Institute
Krivolapov, Y
caa6a98e137ff7474612babc77469bac
ae29b2627d0b89d9f294044ed85ef18f
8e2da6e4a8b98a23e93f842629a74dde
da12730d192d98f2e8ff95425cf9aabf
Krivolapov, Y (Technion)
Monday 21 July 2008, 16:0016:45
Anderson...
Krivolapov, Y (Technion)
Monday 21 July 2008, 16:0016:45
Anderson Localization Transition: Introductory Training Course
Cambridge University
3028
http://sms.cam.ac.uk/media/1208
Anderson localisation and subdiffusion for the nonlinear Schrodinger equtation: results and puzzles
Krivolapov, Y (Technion)
Monday 21 July 2008, 16:0016:45
Anderson Localization Transition: Introductory Training Course
It is well known that transport is suppressed in disordered media in one dimension, which is known as Anderson localization. However, it is not known, even numerically, if adding nonlinearity destroys dynamical localization in the limit of long times. We have conducted an analytical and rigorous research that sheds some light on this subject. Using perturbation theory in the nonlinearity strength we have demonstrated that an initial wavepacket does not spread for short time scales and for long time scales it spreads at most logarithmically. These results provide better ground for understanding of the underlying processes of the competition between the randomness and the nonlinearity.
20130228T13:04:33+00:00
3028
1208
true
4x3
false
no

Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles
ucs_sms_113_1547
http://sms.cam.ac.uk/media/1547
Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles
Fishman, S (Technion)
Friday 22 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 03:13:51 +0100
Fishman, S
Isaac Newton Institute
Fishman, S
7294df687791011311c3533e37fa8e3c
cae9e0492008b3e23fb7bf2f8002f4a9
fe4651a5a5f9414a4361a9974ee0fb8f
7c0cfa05d7beefac9fff4eea104f82ca
Fishman, S (Technion)
Friday 22 August 2008, 10:0011:00
Anderson...
Fishman, S (Technion)
Friday 22 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Cambridge University
3638
http://sms.cam.ac.uk/media/1547
Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles
Fishman, S (Technion)
Friday 22 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
The NLSE is relevant for the explorations of BoseEinstein Condensates and for Nonlinear Classical Optics. A natural question is whether Anderson Localization survives the effect of nonlinearities in one dimension. Relevant experimental, numerical, heuristic and rigorous results will be presented. A perturbation expansion in the nonlinear term was developed and used to obtain a rigorous bound on the spreading for short times. In particular it is found that exponential localization holds at least for time scales inversely proportional to the square of the nonlinearity. Conjectures on the long time behavior will be presented. The work reported in the talk was done in collaboration with Avy Soffer and Yevgeny Krivolapov.
http://www.newton.ac.uk/programmes/MPA/seminars/082210001.html
20130228T13:02:07+00:00
3638
1547
true
4x3
false
no

Anderson localisation in the presence of interactions in BEC
ucs_sms_113_25560
http://sms.cam.ac.uk/media/25560
Anderson localisation in the presence of interactions in BEC
Leboeuf, P (Orsay)
Thursday 09 October 2008, 14:0015:00
Fri, 31 Oct 2008 14:23:53 +0000
Leboeuf, P
Steve Greenham
Isaac Newton Institute
Leboeuf, P
b40bdb64b4b587a284d2a28ceb4a502d
65ab2721346d524ddc89bc106f2edb70
a658946a6f7a16b7e22bfb1817d56c49
f2e1e26c3e8cabfe5530c2cf1c4fdc8a
Leboeuf, P (Orsay)
Thursday 09 October 2008, 14:0015:00
Leboeuf, P (Orsay)
Thursday 09 October 2008, 14:0015:00
Cambridge University
4320
http://sms.cam.ac.uk/media/25560
Anderson localisation in the presence of interactions in BEC
Leboeuf, P (Orsay)
Thursday 09 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:01:55+00:00
4320
25560
true
4x3
false
no

Anderson localisation: phenomenology and mathematics (1)
ucs_sms_113_1182
http://sms.cam.ac.uk/media/1182
Anderson localisation: phenomenology and mathematics (1)
Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Wed, 23 Jul 2008 11:50:59 +0100
Spencer, T
Isaac Newton Institute
Spencer, T
ca45fa854b0aa3f2346fdb24dc969260
76929d98eb180f27d0fa8e0e593e56bf
c4703d694876a0571fff2e7f96ce86b9
4f7e02a52d20f63972920107d9417299
Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:0010:30
Anderson...
Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Cambridge University
5529
http://sms.cam.ac.uk/media/1182
Anderson localisation: phenomenology and mathematics (1)
Spencer, T (IAS, Princeton)
Friday 18 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Quantum mechanics, time evolution, Green's functions. Resolvent identity and finite rank perturbations. An intuitive semiclassical picture. CombesThomas estimates for Green's functions.
20130228T13:01:42+00:00
5529
1182
true
4x3
false
no

Anderson localisation: phenomenology and mathematics (2)
ucs_sms_113_1232
http://sms.cam.ac.uk/media/1232
Anderson localisation: phenomenology and mathematics (2)
Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:0012:30
Anderson Localization Transition: Introductory Training Course
Wed, 06 Aug 2008 12:43:22 +0100
Spencer, T
Isaac Newton Institute
Spencer, T
ad0e0ad750cac7749692f869d8790e9e
faa700b9cdb27c7a3e9a9e9504e6a044
94d42c9e6b288c361f5ab60a26e1ef6a
325c99dc432d01aef1b54f5deb91b3f6
Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:0012:30
Anderson...
Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:0012:30
Anderson Localization Transition: Introductory Training Course
Cambridge University
5443
http://sms.cam.ac.uk/media/1232
Anderson localisation: phenomenology and mathematics (2)
Spencer, T (IAS, Princeton)
Tuesday 22 July 2008, 11:0012:30
Anderson Localization Transition: Introductory Training Course
Bound states, tunnelling. Wegner's estimate on the density of states, formal perturbation theory for the average Green's function and self energy.
20130228T13:01:31+00:00
5443
1232
true
4x3
false
no

Anderson localisation: phenomenology and mathematics (3)
ucs_sms_113_1337
http://sms.cam.ac.uk/media/1337
Anderson localisation: phenomenology and mathematics (3)
Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:0015:30
Anderson Localization Transition: Introductory Training Course
Wed, 20 Aug 2008 13:40:34 +0100
Spencer, T
Isaac Newton Institute
Spencer, T
dacff109d04bca22a5b72232b769a08e
9eec57298f49fb62b37b5ab5ed1b7fac
14c0323a8b37a2fc527a3a581b5fa591
968e27883298b5e1f4fba2c8e4fe7997
Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:0015:30
Anderson...
Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:0015:30
Anderson Localization Transition: Introductory Training Course
Cambridge University
5518
http://sms.cam.ac.uk/media/1337
Anderson localisation: phenomenology and mathematics (3)
Spencer, T (IAS, Princeton)
Thursday 24 July 2008, 14:0015:30
Anderson Localization Transition: Introductory Training Course
A statistical mechanics picture of localization. Finite volume criterion for localization. Simple multiscale approach to localization. Fractional moment methods for proving localization. Relation of Greens functions and eigenfunctions.
20130228T13:01:17+00:00
5518
1337
true
4x3
false
no

Anderson localisation: phenomenology and mathematics (4)
ucs_sms_113_1339
http://sms.cam.ac.uk/media/1339
Anderson localisation: phenomenology and mathematics (4)
Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Thu, 21 Aug 2008 10:07:59 +0100
Spencer, T
Isaac Newton Institute
Spencer, T
e505950bc816c454d49a7fe2f7606dc9
3ec4f5630a62582271c99a5ac047bc5f
0211cdc0dbb05d9be622c26c998db839
5d034f86f836728b0af987fd077f9a10
Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:0010:30
Anderson...
Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Cambridge University
5657
http://sms.cam.ac.uk/media/1339
Anderson localisation: phenomenology and mathematics (4)
Spencer, T (IAS, Princeton)
Friday 25 July 2008, 09:0010:30
Anderson Localization Transition: Introductory Training Course
Thouless scaling of conductance. A mathematical interpretation of scaling. Perturbation theory for conductivity. Ladder diagrams and crossed ladder graphs. A renormalization group approach.
20130228T13:01:05+00:00
5657
1339
true
4x3
false
no

Anderson localization and electronelectron interaction
ucs_sms_113_1530
http://sms.cam.ac.uk/media/1530
Anderson localization and electronelectron interaction
Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Fri, 19 Sep 2008 17:36:06 +0100
Gornyi, I
Isaac Newton Institute
Gornyi, I
fc5f0540d954a0d23f38bb670c7a440a
5d02a19af0d9dfb65b74abcb3c493fac
4f70b4849df04ceaa8e597e97a0e6eb5
59ccf051771413872d188de7d0c65a54
Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008,...
Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Cambridge University
3688
http://sms.cam.ac.uk/media/1530
Anderson localization and electronelectron interaction
Gornyi, I (Forschungszentrum Karlsruhe)
Monday 18 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
I will discuss transport of interacting electrons in a lowdimensional disordered system at low temperature. In view of localization by disorder, the conductivity may only be nonzero due to electronelectron scattering. In this talk, I will review recent theoretical results on Anderson localization of interacting electrons. In particular, I will talk about Anderson localization and dephasing in stronglycorrelated onedimensional electron systems (disordered Luttinger liquids). The results I will describe were obtained in: I. V. Gornyi, A. D. Mirlin, D. G. Polyakov, Phys. Rev. Lett. 95, 046404 (2005); Phys. Rev. Lett. 95, 206603 (2005); Phys. Rev. B 75, 085421 (2007); D.A. Bagrets, I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, arXiv:0804.4887; A.G. Yashenkin, I.V. Gornyi, A.D. Mirlin, D.G. Polyakov, arXiv:0808.1093.
http://www.newton.ac.uk/programmes/MPA/seminars/081814001.html
20130228T13:00:55+00:00
3688
1530
true
4x3
false
no

Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations
ucs_sms_113_1543
http://sms.cam.ac.uk/media/1543
Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations
Efetov, K (RuhrUniversit\"at Bochum)
Thursday 21 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 17:40:30 +0100
Efetov, K
Isaac Newton Institute
Efetov, K
6541d2e099ef1a49c6347cc93d393ea9
d5f5fd6a0dd896d03bea14bc19632621
ea252c2bbfb19c02acf117ee1457c6a9
df9c6d889c486a8e28e3f2c7f3052bf5
Efetov, K (RuhrUniversit\"at Bochum)
Thursday 21 August 2008,...
Efetov, K (RuhrUniversit\"at Bochum)
Thursday 21 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Cambridge University
3744
http://sms.cam.ac.uk/media/1543
Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations
Efetov, K (RuhrUniversit\"at Bochum)
Thursday 21 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
http://www.newton.ac.uk/programmes/MPA/seminars/082109001.html
20130228T13:00:45+00:00
3744
1543
true
4x3
false
no

Anderson localization, topology, and interaction
ucs_sms_113_1314259
http://sms.cam.ac.uk/media/1314259
Anderson localization, topology, and interaction
Ostrovsky, P (Max Planck Institut für Festkörperforschung)
Thursday 20 September 2012, 11:5012:30
Mon, 24 Sep 2012 13:26:07 +0100
Isaac Newton Institute
Ostrovsky, P
e57c0a0ef1906d71147ad1134740cfdb
7b7662a94208fbe33b64b5a4dfa43e68
024096f2f74f44346787b9e2fe85b4a5
Ostrovsky, P (Max Planck Institut für Festkörperforschung)
Thursday 20...
Ostrovsky, P (Max Planck Institut für Festkörperforschung)
Thursday 20 September 2012, 11:5012:30
Cambridge University
2501
http://sms.cam.ac.uk/media/1314259
Anderson localization, topology, and interaction
Ostrovsky, P (Max Planck Institut für Festkörperforschung)
Thursday 20 September 2012, 11:5012:30
Fieldtheoretical approach to Anderson localization in 2D disordered fermionic systems of chiral symmetry classes (BDI, AIII, CII) is developed. Important representatives of these symmetry classes are random hopping models on bipartite lattices at the band center. As was found by Gade and Wegner two decades ago within the sigmamodel formalism, quantum interference effects in these classes are absent to all orders of perturbation theory. We demonstrate that the quantum localization effects emerge when the theory is treated nonperturbatively. Specifically, they are controlled by topological vortexlike excitations of the sigma models by a mechanism similar to the BerezinskiiKosterlitzThouless transition. We derive renormalizationgroup equations including these nonperturbative contributions. Analyzing them, we find that the 2D disordered systems of chiral classes undergo a metalinsulator transition driven by topologically induced Anderson localization. We also show that the topological terms on surfaces of 3D topological insulators of chiral symmetry (in classes AIII and CII) overpower the vortexinduced localization.
Similar vortex excitations also emerge in systems with strong spinorbit interaction (symplectic symmetry class AII). Such systems may exhibit topological insulator state both in three and two dimensions. Interplay of nontrivial topology and Coulomb repulsion induces a novel critical state on the surface of a 3D topological insulator. Remarkably, this interactioninduced criticality, characterized by a universal value of conductivity, emerges without any adjustable parameters. Interaction also leads to a direct transition between trivial insulator and topological insulator in 2D (quantumspinHall transition) via a similar critical state. The nature of this latter critical state is closely related to the effects of vortices within the Finkelstein sigma model.
20120924T13:26:24+01:00
2501
1314259
true
16x9
false
no

Anderson localization: from theoretical aspects to applications in QCD and cold atoms
ucs_sms_113_1553
http://sms.cam.ac.uk/media/1553
Anderson localization: from theoretical aspects to applications in QCD and cold atoms
GarciaGarcia, A (Princeton)
Friday 22 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 12:41:10 +0100
GarciaGarcia, A
Isaac Newton Institute
GarciaGarcia, A
a0071a83af5306d5f295084a960d32ae
281d2297a4578e690b7ad1375427901d
632aa31a81ebdd648d47bede3f0aac15
4193f4f8c8b548fcba5fd3ea122dfab0
GarciaGarcia, A (Princeton)
Friday 22 August 2008, 11:3012:30
Anderson...
GarciaGarcia, A (Princeton)
Friday 22 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Cambridge University
3469
http://sms.cam.ac.uk/media/1553
Anderson localization: from theoretical aspects to applications in QCD and cold atoms
GarciaGarcia, A (Princeton)
Friday 22 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
I summarize some of my recent research on Anderson localization and the metalinsulator transition. In the first part I discuss theoretical aspects: 1. I combine a selfconsistent treatment with the one parameter scaling theory to provide explicit expressions of typical quantities characterizing the metal insulator transition in d > 2 such as the critical exponent which controls the divergence of the localization length. 2. I explore under what circumstances a band of metallic states exists in 1d systems with correlated disorder. I relate the absence of localization with a certain degree of differentiability of the random potential. The second part is devoted to applications: 1. I adapt the one parameter scaling theory to quantum chaos in order to determine in what situations Anderson localization is expected in chaotic but not strictly random potentials. Potential applications to experimental tests of localization in cold atoms physics are briefly discussed. 2. I introduce Anderson localization in the context of Quantum Chromodynamics (QCD). Then I show that at the same time that the chiral phase transition occurs the spectrum of the QCD Dirac operator undergoes a metalinsulator transition. Finally I give a list of challenging problems for the future.
http://www.newton.ac.uk/programmes/MPA/seminars/082211301.html
20130228T13:00:30+00:00
3469
1553
true
4x3
false
no

Anomalously localized states in the onedimensional Anderson localization model at E=0
ucs_sms_113_1313788
http://sms.cam.ac.uk/media/1313788
Anomalously localized states in the onedimensional Anderson localization model at E=0
Kravtsov, V (Abdus Salam International Centre for Theoretical Physics)
Wednesday 19 September 2012, 10:1010:50
Mon, 24 Sep 2012 09:36:56 +0100
Isaac Newton Institute
Kravtsov, V
20819a8ff111624c066d1ffa033a10ab
8d6cacdd53a29849e4fbacd8fb385163
2ec468e13c68e5e6159fa454bb69ea76
Kravtsov, V (Abdus Salam International Centre for Theoretical...
Kravtsov, V (Abdus Salam International Centre for Theoretical Physics)
Wednesday 19 September 2012, 10:1010:50
Cambridge University
2633
http://sms.cam.ac.uk/media/1313788
Anomalously localized states in the onedimensional Anderson localization model at E=0
Kravtsov, V (Abdus Salam International Centre for Theoretical Physics)
Wednesday 19 September 2012, 10:1010:50
20120924T09:37:14+01:00
2633
1313788
true
16x9
false
no

Cavity approach to the spectral density of sparse symmetric random matrices
ucs_sms_113_1201
http://sms.cam.ac.uk/media/1201
Cavity approach to the spectral density of sparse symmetric random matrices
Rogers, T (King's College, London)
Friday 18 July 2008, 16:4517:30
Mon, 28 Jul 2008 14:54:59 +0100
Rogers, T
Isaac Newton Institute
Rogers, T
575b46d991fa2462741710494c7c72e8
91077e94cc3866f8db8a85fe7e00e913
d79d925398be846341658089507c265c
ac83a48fa6b41e753680acecf7cf72b5
Rogers, T (King's College, London)
Friday 18 July 2008, 16:4517:30
Rogers, T (King's College, London)
Friday 18 July 2008, 16:4517:30
Cambridge University
2425
http://sms.cam.ac.uk/media/1201
Cavity approach to the spectral density of sparse symmetric random matrices
Rogers, T (King's College, London)
Friday 18 July 2008, 16:4517:30
In this talk the spectral density of the ensemble of sparse symmetric random matrices is analyzed using the cavity method. We consider two cases: matrices whose associated graphs are locally treelike, and sparse covariance matrices. We derive a closed set of equations from which the density of eigenvalues can be efficiently calculated. Within this approach, the Wigner semicircle law for Gaussian matrices and the MarcenkoPastur law for covariance matrices are recovered easily. Our results are compared with numerical diagonalization, finding excellent agreement.
20130228T13:00:14+00:00
2425
1201
true
4x3
false
no

Cell model for scaling near the mobility edge
ucs_sms_113_1533
http://sms.cam.ac.uk/media/1533
Cell model for scaling near the mobility edge
Wegner, F (Heidelberg)
Monday 18 August 2008, 16:3017:30
Anderson Localization and Related Phenomena
Fri, 19 Sep 2008 23:09:40 +0100
Wegner, F
Isaac Newton Institute
Wegner, F
9a7e5897a44193a2f60b7072ed850e56
b73264db924a9c7828e538b3e19f1c18
f569cf151888caaa8b6103bdddb3d3c1
e877d7e34b7c23975eb66d3d202ecaed
Wegner, F (Heidelberg)
Monday 18 August 2008, 16:3017:30
Anderson...
Wegner, F (Heidelberg)
Monday 18 August 2008, 16:3017:30
Anderson Localization and Related Phenomena
Cambridge University
3145
http://sms.cam.ac.uk/media/1533
Cell model for scaling near the mobility edge
Wegner, F (Heidelberg)
Monday 18 August 2008, 16:3017:30
Anderson Localization and Related Phenomena
On the basis of realspace renormalization (Z. Physik B25 (1976) 327) descriptive arguments for scaling at the mobility edge are given. Although these arguments are rather old, most of them are in qualitative agreement with today's knowledge on the behaviour around the mobility edge (nonlinear sigmamodel and renormalization).
20130228T13:00:05+00:00
3145
1533
true
4x3
false
no

Classification and symmetry properties of scaling dimensions at Anderson transitions
ucs_sms_113_1306764
http://sms.cam.ac.uk/media/1306764
Classification and symmetry properties of scaling dimensions at Anderson transitions
Mirlin, A (Universität Karlsruhe (TH))
Tuesday 18 September 2012, 11:1011:50
Fri, 21 Sep 2012 16:16:02 +0100
Isaac Newton Institute
Mirlin, A
f7c25c4e276f2263c16972ad859d03a7
cdeb39417721018057daad7d8b59c8ae
99b8e72048b1549eb35e5005872175ee
Mirlin, A (Universität Karlsruhe (TH))
Tuesday 18 September 2012, 11:1011:50
Mirlin, A (Universität Karlsruhe (TH))
Tuesday 18 September 2012, 11:1011:50
Cambridge University
2680
http://sms.cam.ac.uk/media/1306764
Classification and symmetry properties of scaling dimensions at Anderson transitions
Mirlin, A (Universität Karlsruhe (TH))
Tuesday 18 September 2012, 11:1011:50
Multifractality of wave functions is a remarkable property of Anderson transition critical points in disordered systems. We develop a classification of gradientless composite operators (that includes the leading multifractal operators but is much broader) representing correlation functions of local densities of states (or wave function amplitudes) at Anderson transitions. Our classification is based on the Iwasawa decomposition for the underlying supersymmetric sigmamodel field: the operators are represented by "plane waves" in terms of the corresponding "radial" coordinates. We present also an alternative (but equivalent) construction of scaling operators that uses the notion of highestweight vectors. We further show that the invariance of the sigmamodel manifold with respect to a Weyl group leads to numerous exact symmetry relations between the scaling dimensions of the composite operators.
20120921T16:16:19+01:00
2680
1306764
true
16x9
false
no

Collective electronic transport close to the metalinsulator or superconductor insulator transitions.
ucs_sms_113_521217
http://sms.cam.ac.uk/media/521217
Collective electronic transport close to the metalinsulator or superconductor insulator transitions.
Mueller, M (Université de Genève)
Wednesday 17 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 13:49:03 +0000
Mueller, M
Isaac Newton Institute
Mueller, M
f797e4c029395453fa4d1d81877a9dc0
3236535b36a277c3f227c82dc170d403
86ba0bf887e033f9e3eea4b69dec3f4a
611f5e0cf37ba03bf0c6ad71fdc74c4a
Mueller, M (Université de Genève)
Wednesday 17 December 2008,...
Mueller, M (Université de Genève)
Wednesday 17 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3492
http://sms.cam.ac.uk/media/521217
Collective electronic transport close to the metalinsulator or superconductor insulator transitions.
Mueller, M (Université de Genève)
Wednesday 17 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Insulators close to the transition to a metal or a superconductor exhibit interesting collective electronic phenomena which are prominently reflected in transport properties. An important feature in systems close to the metalinsulator transition is the apparently purely electronic nature of activated transport seen in experiments. This does not fit into the standard theory of phononassisted hopping conduction and has remained an unexplained puzzle for decades. It also seems to contradict recent theories of “many body localization” (localization in the Fock space of interacting systems), which have predicted a finite temperature metal insulator transition for interacting, Anderson localized electrons. I will address this problem for Anderson insulators with a singleparticle localization length much larger than the mean distance between electrons. I will argue that under these circumstances Coulomb interactions drive the electrons into a strongly correlated quantum glass phase with a gapless spectrum of delocalized collective excitations which act as a bath with which individual electrons can exchange energy. However, the same reasoning does not necessarily apply close to a insulatortosuperconductor transition, where electrons are bound into preformed Cooper pairs and Coulomb interactions are weak. I will argue that these systems are promising candidates to exhibit strong remnants of “many body localization”, which may be the key to an explanation for their unusual transport properties.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T12:59:47+00:00
3492
521217
true
4x3
false
no

Construction of KdV flow on generalised reflectionless potentials
ucs_sms_113_25388
http://sms.cam.ac.uk/media/25388
Construction of KdV flow on generalised reflectionless potentials
Kotani, S (Kwansei)
Friday 19 September 2008, 14:0015:00
Fri, 31 Oct 2008 09:22:23 +0000
Kotani, S
Isaac Newton Institute
Kotani, S
064837aff6a61fae8b43df3a8fc8b98e
9dfc9ebca2ef0f6d690b2d62e51db484
74d7afc67d46d147023a6ee0e2911420
6596b36424ccc7e7eef83b8484a2d9f4
Kotani, S (Kwansei)
Friday 19 September 2008, 14:0015:00
Kotani, S (Kwansei)
Friday 19 September 2008, 14:0015:00
Cambridge University
4110
http://sms.cam.ac.uk/media/25388
Construction of KdV flow on generalised reflectionless potentials
Kotani, S (Kwansei)
Friday 19 September 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:09:19+00:00
4110
25388
true
4x3
false
no

Correlation functions for random Schrodinger operators
ucs_sms_113_520763
http://sms.cam.ac.uk/media/520763
Correlation functions for random Schrodinger operators
Hislop, P (Kentucky)
Monday 15 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 10:59:42 +0000
Hislop, P
Isaac Newton Institute
Hislop, P
6aee481f522bdfe528ac45612173eb22
0faa849a58032e3611a8c43e13253c3a
e98336b3011fbd7b5ada8f380e2b419b
ba123eae3ad79c52163d3a1935dabf43
Hislop, P (Kentucky)
Monday 15 December 2008, 14:0015:00
Classical and...
Hislop, P (Kentucky)
Monday 15 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3740
http://sms.cam.ac.uk/media/520763
Correlation functions for random Schrodinger operators
Hislop, P (Kentucky)
Monday 15 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Correlation functions are the expectations of moments of the spectral measures for random Schrodinger operators. They play a role in describing the transport properties of the system. This talk will review progress in understanding these moments with an emphasis on the first and second moments. These include the density of states, the currentcurrent correlation functions, and secondorder moments involved in the Minami estimate. The talk will present results that are joint work with J. Bellissard, J. M. Combes, F. Germinet, F. Klopp, O. Lenoble, P. Muller, and G. Stolz.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:09:08+00:00
3740
520763
true
4x3
false
no

Critical Mandelbrot Cascades
ucs_sms_113_1305484
http://sms.cam.ac.uk/media/1305484
Critical Mandelbrot Cascades
Kupiainen, A (University of Helsinki)
Monday 17 September 2012, 16:1016:50
Fri, 21 Sep 2012 10:19:37 +0100
Isaac Newton Institute
Kupiainen, A
547d4dc06dcdf1dd49d3dfd62acceed8
df614397e3ae3f10dc7cd44f11420d55
d42553b546ef20b6f19db862ddd20996
Kupiainen, A (University of Helsinki)
Monday 17 September 2012, 16:1016:50
Kupiainen, A (University of Helsinki)
Monday 17 September 2012, 16:1016:50
Cambridge University
2582
http://sms.cam.ac.uk/media/1305484
Critical Mandelbrot Cascades
Kupiainen, A (University of Helsinki)
Monday 17 September 2012, 16:1016:50
Mandelbrot's multiplicative cascade measures are random energy models with logarithmically correlated energies. They exhibit a freezing transition from high temperature phase with (singular) continuous Gibbs measure to an atomic one in low temperatures. I will discuss recent work proving that in the critical case these measures have no atoms. I also discuss the multi fractal spectrum and the KPZ formula of Liouville gravity at the critical point and low temperature phase.
20120921T10:19:54+01:00
2582
1305484
true
16x9
false
no

Diffusion for a quantum particle coupled to a phonon gas
ucs_sms_113_1314097
http://sms.cam.ac.uk/media/1314097
Diffusion for a quantum particle coupled to a phonon gas
De Roeck, W (Universität Heidelberg)
Wednesday 19 September 2012, 16:1016:50
Mon, 24 Sep 2012 12:36:31 +0100
Isaac Newton Institute
De Roeck, W
1251172cd9da0a380dbe16f1029eec4a
8b030e777b931a80408608ee755f13d4
5e371b9bf738192bc22910dc9414b099
De Roeck, W (Universität Heidelberg)
Wednesday 19 September 2012, 16:1016:50
De Roeck, W (Universität Heidelberg)
Wednesday 19 September 2012, 16:1016:50
Cambridge University
2629
http://sms.cam.ac.uk/media/1314097
Diffusion for a quantum particle coupled to a phonon gas
De Roeck, W (Universität Heidelberg)
Wednesday 19 September 2012, 16:1016:50
20120924T12:36:49+01:00
2629
1314097
true
16x9
false
no

Diffusion of energy in coupled map lattices
ucs_sms_113_25271
http://sms.cam.ac.uk/media/25271
Diffusion of energy in coupled map lattices
Kupiainen, A (Helsinki)
Thursday 18 September 2008, 14:0015:00
Thu, 30 Oct 2008 15:38:03 +0000
Kupiainen, A
Isaac Newton Institute
Kupiainen, A
190a507af0955e250e9e63a6125d461f
59c4028b86780e12af937a5d22d293aa
718f4792850db6f558cec34dda9ac5dc
a94289bced5d40818e3bd3537d51aa26
Kupiainen, A (Helsinki)
Thursday 18 September 2008, 14:0015:00
Kupiainen, A (Helsinki)
Thursday 18 September 2008, 14:0015:00
Cambridge University
3983
http://sms.cam.ac.uk/media/25271
Diffusion of energy in coupled map lattices
Kupiainen, A (Helsinki)
Thursday 18 September 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:08:48+00:00
3983
25271
true
4x3
false
no

Diffusion of wave packets in a Markov random potential
ucs_sms_113_1552
http://sms.cam.ac.uk/media/1552
Diffusion of wave packets in a Markov random potential
Schenker, J (Michigan State)
Thursday 21 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 10:24:22 +0100
Schenker, J
Isaac Newton Institute
Schenker, J
0ee07c49bdcb054b54915fdcc349eac4
82f814d22f85e17995b281697b7eaa3d
5c61f3b8d176f8a7c3a90359362f17c2
20854f600adca220e85c99d51ba16d96
Schenker, J (Michigan State)
Thursday 21 August 2008, 14:0015:00
Anderson...
Schenker, J (Michigan State)
Thursday 21 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Cambridge University
3273
http://sms.cam.ac.uk/media/1552
Diffusion of wave packets in a Markov random potential
Schenker, J (Michigan State)
Thursday 21 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
We show the square amplitude of a tight binding wave packet propagating in a sufficiently weak time dependent potential which evolves according to a stationary Markov proces converges, after diffusive rescaling, to a solution of a heat equation.
http://www.newton.ac.uk/programmes/MPA/seminars/082114001.html
20130228T13:08:39+00:00
3273
1552
true
4x3
false
no

Disconnection of discrete cylinders and random interlacements
ucs_sms_113_521378
http://sms.cam.ac.uk/media/521378
Disconnection of discrete cylinders and random interlacements
Sznitman, AS (ETH Zürich)
Thursday 18 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 16:56:05 +0000
Sznitman, AS
Isaac Newton Institute
Sznitman, AS
b40fbc483b07d190e74823decfcf12e1
d1ce07ce598b30c2722258cbd08ece9b
4e54c8dc726e0a57019769939044adb1
00755b9a12ec034a428bfbcbc0d83744
Sznitman, AS (ETH Zürich)
Thursday 18 December 2008, 09:0010:00
Classical...
Sznitman, AS (ETH Zürich)
Thursday 18 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3518
http://sms.cam.ac.uk/media/521378
Disconnection of discrete cylinders and random interlacements
Sznitman, AS (ETH Zürich)
Thursday 18 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
The disconnection by random walk of a discrete cylinder with a large finite connected base has been a recent object of interest. It has to do with the way paths of random walks can create interfaces. In this talk we describe some current results and explain how this problem is related to questions of percolation and to the model of random interlacements.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:08:28+00:00
3518
521378
true
4x3
false
no

Edge reinforced random walks, Vertex reinforced jump process and the SuSy hyperbolic sigma model (II)
ucs_sms_113_1306810
http://sms.cam.ac.uk/media/1306810
Edge reinforced random walks, Vertex reinforced jump process and the SuSy hyperbolic sigma model (II)
Tarres, P (University of Oxford)
Wednesday 19 September 2012, 09:3010:10
Fri, 21 Sep 2012 16:36:56 +0100
Isaac Newton Institute
Tarres, P
d48467653ee6a341bec30d13f6eb5463
a0f126a5768f66981b960d387cd7a42c
dcfebc32fa7ad719ffa9f66ba2805d06
Tarres, P (University of Oxford)
Wednesday 19 September 2012, 09:3010:10
Tarres, P (University of Oxford)
Wednesday 19 September 2012, 09:3010:10
Cambridge University
2485
http://sms.cam.ac.uk/media/1306810
Edge reinforced random walks, Vertex reinforced jump process and the SuSy hyperbolic sigma model (II)
Tarres, P (University of Oxford)
Wednesday 19 September 2012, 09:3010:10
Edgereinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986, is a random process which takes values in the vertex set of a graph G, and is more likely to cross edges it has visited before. We show that it can be represented in terms of a Vertexreinforced jump process (VRJP) with independent gamma conductances: the VRJP was conceived by Werner and first studied by Davis and Volkov (2002,2004), and is a continuoustime process favouring sites with more local time.
Then we prove that the VRJP is a mixture of timechanged Markov jump processes and calculate the mixing measure, which we interpret as a marginal of the supersymmetric hyperbolic sigma model introduced by Disertori, Spencer and Zirnbauer.
This enables us to deduce that VRJP and ERRW are strongly recurrent in any dimension for large reinforcement (in fact, on graphs of bounded degree), using a localisation result of Disertori and Spencer (2010).
20120921T16:37:13+01:00
2485
1306810
true
16x9
false
no

Edgereinforced random walk on a twodimensional graph
ucs_sms_113_521651
http://sms.cam.ac.uk/media/521651
Edgereinforced random walk on a twodimensional graph
Rolles, SWW (Technische Universität München)
Friday 19 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 16:03:47 +0000
Rolles, SWW
Isaac Newton Institute
Rolles, SWW
23ee5d0688622d43b390421a99a1ba50
f5fee5594c1d5e3ca1e2c919ad5fb32f
86453339ff78c6d6205d92c249216c9f
de32e981ab32073ebd24822bd942b76f
Rolles, SWW (Technische Universität München)
Friday 19 December 2008,...
Rolles, SWW (Technische Universität München)
Friday 19 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3131
http://sms.cam.ac.uk/media/521651
Edgereinforced random walk on a twodimensional graph
Rolles, SWW (Technische Universität München)
Friday 19 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
We consider linearly edgereinforced random walk on a class of twodimensional graphs with constant initial weights. The graphs are obtained from Z^2 by replacing every edge by a sufficiently large, but fixed number of edges in series. We prove that linearly edgereinforced random walk on these graphs is recurrent.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:08:13+00:00
3131
521651
true
4x3
false
no

Effect of disorder on positive shot noise crosscorrelations in superconducting hybrids
ucs_sms_113_1168
http://sms.cam.ac.uk/media/1168
Effect of disorder on positive shot noise crosscorrelations in superconducting hybrids
Benjamin, C (Leeds)
Monday 14 July 2008, 16:0016:45
Thu, 17 Jul 2008 07:04:37 +0100
Benjamin, C
Isaac Newton Institute
Benjamin, C
affde68f2f96b09f8876bd6acc5696b1
2dc3d0af15cc7c1d3899cd78bf0d0647
e7238dcdaf7005ebb8a96b3c1dbdb35b
d44bf781e937dfefa937f66d94c7a85c
Benjamin, C (Leeds)
Monday 14 July 2008, 16:0016:45
Benjamin, C (Leeds)
Monday 14 July 2008, 16:0016:45
Cambridge University
2039
http://sms.cam.ac.uk/media/1168
Effect of disorder on positive shot noise crosscorrelations in superconducting hybrids
Benjamin, C (Leeds)
Monday 14 July 2008, 16:0016:45
Disorder can suppress as well as enhance quantum interference effects. In this work we discuss the effects of disorder on positive shot noise crosscorrelations seen in normal metalsuperconductornormal metal structures. There is an enhancement in the crosscorrelation signal due to disorder and this is related with the enhanced crossed conductance.
20130228T13:07:33+00:00
2039
1168
true
4x3
false
no

Effects of Interactions and Nonlinearity for a Pulse Propagation in a Disordered Medium
ucs_sms_113_1303734
http://sms.cam.ac.uk/media/1303734
Effects of Interactions and Nonlinearity for a Pulse Propagation in a Disordered Medium
Finkelstein, A (Weizmann Institute and Texas A&M University)
Monday 17 September 2012, 10:1010:50
Thu, 20 Sep 2012 16:11:54 +0100
Isaac Newton Institute
Finkelstein, A
49ca71609d030373d28ed8422d31cd4f
7a801ce547783b3cd1f937230371a6ed
923d48efaa35da063c2c6450d677a5cd
Finkelstein, A (Weizmann Institute and Texas A&M University)
Monday 17...
Finkelstein, A (Weizmann Institute and Texas A&M University)
Monday 17 September 2012, 10:1010:50
Cambridge University
2338
http://sms.cam.ac.uk/media/1303734
Effects of Interactions and Nonlinearity for a Pulse Propagation in a Disordered Medium
Finkelstein, A (Weizmann Institute and Texas A&M University)
Monday 17 September 2012, 10:1010:50
20120920T16:12:13+01:00
2338
1303734
true
16x9
false
no

Eigenvalue statistics for random CMV matrices
ucs_sms_113_516349
http://sms.cam.ac.uk/media/516349
Eigenvalue statistics for random CMV matrices
Stoiciu, M (Williams College)
Tuesday 28 October 2008, 14:0015:00
Mon, 05 Jan 2009 09:28:02 +0000
Stoiciu, M
Isaac Newton Institute
Stoiciu, M
64b689c651a2b6320acc878105f8f888
04c3a1a2290bb064aa634e8d0db11900
eeb52bb2804e50737e0523f4465b7600
7f2b1027f7f45a8214c18493d4bd1bb7
Stoiciu, M (Williams College)
Tuesday 28 October 2008, 14:0015:00
Stoiciu, M (Williams College)
Tuesday 28 October 2008, 14:0015:00
Cambridge University
3933
http://sms.cam.ac.uk/media/516349
Eigenvalue statistics for random CMV matrices
Stoiciu, M (Williams College)
Tuesday 28 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:07:17+00:00
3933
516349
true
4x3
false
no

Eigenvalue statistics for the discrete and continuous Anderson model
ucs_sms_113_521711
http://sms.cam.ac.uk/media/521711
Eigenvalue statistics for the discrete and continuous Anderson model
Combes, JM (Université du Sud ToulonVar )
Friday 19 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 17:02:13 +0000
Combes, JM
Isaac Newton Institute
Combes, JM
00a031c049c6b96e05f611892eba0fa7
86b3d6f2d6b2bf61215f5bbdec2d4dac
138cddffa35f48cf738827e0d71c1d85
1fd38c560f3822b41fc6d2780f72f5da
Combes, JM (Université du Sud ToulonVar )
Friday 19 December 2008,...
Combes, JM (Université du Sud ToulonVar )
Friday 19 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
2636
http://sms.cam.ac.uk/media/521711
Eigenvalue statistics for the discrete and continuous Anderson model
Combes, JM (Université du Sud ToulonVar )
Friday 19 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
We review some recent results obtained with F.Germinet and A.Klein on Minami estimate for the Anderson model and application to Poisson statistics of rescaled eigenvalues in the localisation regime.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:07:03+00:00
2636
521711
true
4x3
false
no

Electron transport in disordered graphene
ucs_sms_113_1540
http://sms.cam.ac.uk/media/1540
Electron transport in disordered graphene
Mirlin, A (Karlsruhe)
Tuesday 19 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 11:49:20 +0100
Mirlin, A
Isaac Newton Institute
Mirlin, A
0a5b94fed31f2d1b0c909ae54409f20d
a987dd64baefd4a9c115958bfc2a040c
ad213557deac15b8bb39028444e7a7f5
50157a5c90320d6fbcec82bfa1d614e7
Mirlin, A (Karlsruhe)
Tuesday 19 August 2008, 14:0015:00
Anderson...
Mirlin, A (Karlsruhe)
Tuesday 19 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Cambridge University
3729
http://sms.cam.ac.uk/media/1540
Electron transport in disordered graphene
Mirlin, A (Karlsruhe)
Tuesday 19 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Charge carriers in graphene have a relativistic (massless Dirac) spectrum, which is responsible for remarkable electronic properties of this 2D material. In this talk, I will first give a brief overview of the experimental results on transport properties of graphene samples. I will then present recent theoretical advances on electron transport in disordered graphene. Transport properties of the system are found to depend crucially on the character of disorder which influences the symmetry and the topology of the underlying field theory of disordered Dirac fermions. A particularly interesting situation emerges for longrange disorder which does not mix two Dirac "valleys" of the spectrum. Topics to be discussed: (i) Anderson localization or its absence; (ii) anomalous quantum Hall effect; (iii) evolution from the ballistic to the diffusive regime. The talk is based on results obtained in P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, Phys.Rev.B 74, 235443 (2006); Phys.Rev.Lett. 98, 256801 (2007); Eur.Phys.J.Special Topics 148, 63 (2007); Phys.Rev.B 77, 195430 (2008); A. Schuessler, P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, in preparation.
http://www.newton.ac.uk/programmes/MPA/seminars/081914001.html
20130228T13:06:53+00:00
3729
1540
true
4x3
false
no

Enhancement of Superconductivity by Anderson Localization
ucs_sms_113_1315334
http://sms.cam.ac.uk/media/1315334
Enhancement of Superconductivity by Anderson Localization
Gornyi, I (Forschungszentrum Karlsruhe)
Friday 21 September 2012, 10:1010:50
Tue, 25 Sep 2012 13:54:42 +0100
Isaac Newton Institute
Gornyi, I
baa3594a4bb6c9b95c741f86eafbb121
31e3571839c6207dc0e267d12de07ba5
71a902ea4bd081035b596305142bc127
Gornyi, I (Forschungszentrum Karlsruhe)
Friday 21 September 2012, 10:1010:50
Gornyi, I (Forschungszentrum Karlsruhe)
Friday 21 September 2012, 10:1010:50
Cambridge University
2650
http://sms.cam.ac.uk/media/1315334
Enhancement of Superconductivity by Anderson Localization
Gornyi, I (Forschungszentrum Karlsruhe)
Friday 21 September 2012, 10:1010:50
We study the influence of disorder on the temperature of superconducting transition within the sigmamodel renormalizationgroup framework. Electronelectron interaction in particlehole and Cooper channels is taken into account and assumed to be short range. The approach takes into account mutual renormalization of disorder and all interaction constants (that, in particular, leads to mixing of different interaction channels). Twodimensional systems in the weak localization and antilocalization regime, as well as systems near mobility edge are considered. We demonstrate that in all these regimes Anderson localization leads to strong enhancement of the critical temperature related to the multifractality of wave functions. Screening of the longrange Coulomb interaction thus opens a promising direction for searching novel materials for hightemperature superconductivity.
20120925T13:54:59+01:00
2650
1315334
true
16x9
false
no

Exit measures for random walks in random environments
ucs_sms_113_521248
http://sms.cam.ac.uk/media/521248
Exit measures for random walks in random environments
Zeitouni, O (Weizmann Institute)
Wednesday 17 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 14:45:22 +0000
Zeitouni, O
Isaac Newton Institute
Zeitouni, O
689e66c3d5c923ac714cd823fecded2c
74487e21a7904b06dbddfb47aa243bc0
bbc32e5e244e9ae9eac0be9bb87c239a
f338e184a630775a392a2b3980e7f705
Zeitouni, O (Weizmann Institute)
Wednesday 17 December 2008,...
Zeitouni, O (Weizmann Institute)
Wednesday 17 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3505
http://sms.cam.ac.uk/media/521248
Exit measures for random walks in random environments
Zeitouni, O (Weizmann Institute)
Wednesday 17 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
I will describe recent work with Erwin Bolthausen, concerning exit measures from large balls for isotropic (in law) random walks in random environments. ``Almost local'' limit theorems are derived.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:06:38+00:00
3505
521248
true
4x3
false
no

Expansion of cold atomic gases in the presence of disorder
ucs_sms_113_1526
http://sms.cam.ac.uk/media/1526
Expansion of cold atomic gases in the presence of disorder
Shapiro, B (Technion)
Tuesday 02 September 2008, 14:0015:00
Fri, 19 Sep 2008 12:54:38 +0100
Shapiro, B
Isaac Newton Institute
Shapiro, B
f9f4883f2eb2caddb189e157e40fb33a
ad1f22787c5b95cbc55f72be1c6b019f
fbbcdc3ac73914c19ecbfdecc2526cfa
31a23e0ef37480fdd57e6bded50d19f8
Shapiro, B (Technion)
Tuesday 02 September 2008, 14:0015:00
Shapiro, B (Technion)
Tuesday 02 September 2008, 14:0015:00
Cambridge University
4007
http://sms.cam.ac.uk/media/1526
Expansion of cold atomic gases in the presence of disorder
Shapiro, B (Technion)
Tuesday 02 September 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/090214001.html
20130228T13:06:27+00:00
4007
1526
true
4x3
false
no

Fluctuations and growth of the magnitude of the Dirichlet determinants of Anderson Model at all disorders
ucs_sms_113_521620
http://sms.cam.ac.uk/media/521620
Fluctuations and growth of the magnitude of the Dirichlet determinants of Anderson Model at all disorders
Goldstein, M (Toronto)
Thursday 18 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 15:16:50 +0000
Goldstein, M
Isaac Newton Institute
Goldstein, M
758615d341e345e4e76099e429927fcf
8eeb7e48ccbdd35e337e84b87bf7c963
90f13ee484c54cc115a2c1e13b90ed39
06dadd213f50c30dad873e0d33c39a27
Goldstein, M (Toronto)
Thursday 18 December 2008, 16:3017:30
Classical and...
Goldstein, M (Toronto)
Thursday 18 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3016
http://sms.cam.ac.uk/media/521620
Fluctuations and growth of the magnitude of the Dirichlet determinants of Anderson Model at all disorders
Goldstein, M (Toronto)
Thursday 18 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
We consider the Schrodinger operator of the Anderson model in a quasionedimensional domain with Dirichlet boundary condition. We show the exponential growth of the characteristic determinant of the problem. In particular, we give an effective, finite number of factors lower bound for the upper Lyapunov exponent of the product of the corresponding symplectic matrices. We explain the mechanism responsible for exponentially large magnitude of the Dirichlet determinant. The central part of this mechanism consists of the fact that the logarithm of the determinant has large fluctuations.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:06:16+00:00
3016
521620
true
4x3
false
no

Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann ZetaFunction
ucs_sms_113_1306784
http://sms.cam.ac.uk/media/1306784
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann ZetaFunction
Keating, J (University of Bristol)
Tuesday 18 September 2012, 11:5012:30
Fri, 21 Sep 2012 16:27:16 +0100
Isaac Newton Institute
Keating, J
efa083d4557930f5233d8f4dc380928e
bfdf70dc3d1861b433bfc9392cfa6876
21eff61e66eaf46a69375c553c1f36e6
Keating, J (University of Bristol)
Tuesday 18 September 2012, 11:5012:30
Keating, J (University of Bristol)
Tuesday 18 September 2012, 11:5012:30
Cambridge University
2348
http://sms.cam.ac.uk/media/1306784
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann ZetaFunction
Keating, J (University of Bristol)
Tuesday 18 September 2012, 11:5012:30
We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/fnoise random energy models, also determines the value distribution of the maximum of the modulus of the characteristic polynomials of large N x N random unitary (CUE) matrices. We postulate that our results extend to the extreme values taken by the Riemann zetafunction zeta(s) over sections of the critical line s=1/2+it of constant length and present the results of numerical computations in support. Our main purpose is to draw attention to possible connections between the statistical mechanics of random energy landscapes, random matrix theory, and the theory of the Riemann zeta function.
20120921T16:27:33+01:00
2348
1306784
true
16x9
false
no

GUE density of states by SUSY
ucs_sms_113_1181
http://sms.cam.ac.uk/media/1181
GUE density of states by SUSY
Disertori, M (Rouen)
Thursday 17 July 2008, 14:0015:30
Tue, 22 Jul 2008 16:24:26 +0100
Disertori, M
Isaac Newton Institute
Disertori, M
fe7327c2787b3252aa2dece22b981d48
262b5ecd7b64e581f0b6501282d83bbd
8546615e385512c7d5888fdd00e9603d
af1cffbc9829e3a9abfa759621dfae94
Disertori, M (Rouen)
Thursday 17 July 2008, 14:0015:30
Disertori, M (Rouen)
Thursday 17 July 2008, 14:0015:30
Cambridge University
5216
http://sms.cam.ac.uk/media/1181
GUE density of states by SUSY
Disertori, M (Rouen)
Thursday 17 July 2008, 14:0015:30
http://www.newton.ac.uk/programmes/MPA/seminars/071714001.html
20130228T13:05:58+00:00
5216
1181
true
4x3
false
no

Hyperbolic HubbardStratonovich transformations
ucs_sms_113_1545
http://sms.cam.ac.uk/media/1545
Hyperbolic HubbardStratonovich transformations
MullerHill, J (Cologne)
Thursday 21 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 00:43:49 +0100
MullerHill, J
Isaac Newton Institute
MullerHill, J
1b3b52a707132d48f4e036bfeb0197e2
c2eee2762a4f7d8923f5c43d456b15a1
315df650c058d9e51279c4a976aaeeed
f3438b5ecec4df5124b20a7c49a99d6b
MullerHill, J (Cologne)
Thursday 21 August 2008, 11:3012:30
Anderson...
MullerHill, J (Cologne)
Thursday 21 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Cambridge University
2446
http://sms.cam.ac.uk/media/1545
Hyperbolic HubbardStratonovich transformations
MullerHill, J (Cologne)
Thursday 21 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
An important application for hyperbolic HubbardStranonovich transformations is the derivation of hyperbolic sigma models. We will explain the SchaeferWegner and PruiskenSchaefer variants of the transformation. Until recently the mathematical status of the latter was unclear. We will give a proof of the PruiskenSchaefer variant of the transformation, and clarify the connection to the SchaeferWegner variant.
http://www.newton.ac.uk/programmes/MPA/seminars/082111301.html
20130228T13:12:59+00:00
2446
1545
true
4x3
false
no

Interpretation of the Altshuler Andreev saddle point
ucs_sms_113_521460
http://sms.cam.ac.uk/media/521460
Interpretation of the Altshuler Andreev saddle point
Altland, A (Köln)
Thursday 18 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 08:49:11 +0000
Altland, A
Isaac Newton Institute
Altland, A
4b72723367e02674f84bbef8923898ad
7586d9acce5557f27ee33b02407bf95e
0ceffd0e4ff6a79cdaab16e5f153b2bc
3cd5f50156dc50da66835d2cf3e3abc0
Altland, A (Köln)
Thursday 18 December 2008, 10:0011:00
Classical and...
Altland, A (Köln)
Thursday 18 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3600
http://sms.cam.ac.uk/media/521460
Interpretation of the Altshuler Andreev saddle point
Altland, A (Köln)
Thursday 18 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
In recent years, progress has been made in understanding the status of random matrix theory in the physics of classically chaotic quantum systems by methods of semiclassical analysis. We owe much of this progress to the linkage between semiclassical expansions in terms of periodic orbits on the one hand, and field theoretical methods (integration over certain sigma model manifolds) on the other hand. I will review this connection, special emphasis put on the role of a stationary point in the domain of integration, the Altshuler Andreev saddle point. This point had long been reckognized as instrumetal in understanding the nonperturbative aspects of spectral statistics (the sinekernel, for instance.) The recently constructed semiclassical analogies have offered the possibility to understand its role in more intuitive terms, to be discussed in the talk.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:12:45+00:00
3600
521460
true
4x3
false
no

Introduction to spectral theory (1)
ucs_sms_113_1163
http://sms.cam.ac.uk/media/1163
Introduction to spectral theory (1)
Pastur, L (Kharkov)
Monday 14 July 2008, 09:3010:30
Wed, 16 Jul 2008 07:36:21 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
2362a4d11e629a390778e25f4ea01ecf
c12795ab019a01d6c60135954bfe9734
514d4a6f796b735d5adcb14df9dc4df6
2a5ea948946d5dbe0333f4607daf16cf
Pastur, L (Kharkov)
Monday 14 July 2008, 09:3010:30
Pastur, L (Kharkov)
Monday 14 July 2008, 09:3010:30
Cambridge University
3654
http://sms.cam.ac.uk/media/1163
Introduction to spectral theory (1)
Pastur, L (Kharkov)
Monday 14 July 2008, 09:3010:30
Basic notions of Hilbert spaces, linear operators (bounded and not), selfadjoint and essentially selfadjoint operators, resolvent, criteria of selfadjointess, spectral theorem, spectral types(absolutely continuous, singular continuous, pure point).
http://www.newton.ac.uk/programmes/MPA/seminars/071409301.html
20130228T13:12:34+00:00
3654
1163
true
4x3
false
no

Introduction to spectral theory (2)
ucs_sms_113_1167
http://sms.cam.ac.uk/media/1167
Introduction to spectral theory (2)
Pastur, L (Kharkov)
Monday 14 July 2008, 14:0015:30
Wed, 16 Jul 2008 14:44:44 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
ce7d7383e5e0458761a59e74844cf2bd
81e714d8056be38490aa6392442c36cb
dace0c90aab0e5f994c205ecd1484e21
e2a2fd75224a8bd63303a583a8aa01ef
Pastur, L (Kharkov)
Monday 14 July 2008, 14:0015:30
Pastur, L (Kharkov)
Monday 14 July 2008, 14:0015:30
Cambridge University
5077
http://sms.cam.ac.uk/media/1167
Introduction to spectral theory (2)
Pastur, L (Kharkov)
Monday 14 July 2008, 14:0015:30
Finitedifference and differential operators, the Schrödinger operator (discrete and continuous), onedimensional operators of second order, examples (operators with constant and periodic coefficients), Weyl's theory. Generalized eigenfunctions and their polynomial boundedness.
http://www.newton.ac.uk/programmes/MPA/seminars/071414001.html
20130228T13:12:24+00:00
5077
1167
true
4x3
false
no

Introduction to spectral theory (3)
ucs_sms_113_1169
http://sms.cam.ac.uk/media/1169
Introduction to spectral theory (3)
Pastur, L (Kharkov)
Tuesday 15 July 2008, 09:0010:30
Thu, 17 Jul 2008 09:44:01 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
a651d5d420dd347f5e8a9e914363a976
572a81ed4cd5391d19065caab71a6ab6
23fae34590c536ebcbe63531f66a3360
bb1bd7aeda84b3e6661d84806c7a74c6
Pastur, L (Kharkov)
Tuesday 15 July 2008, 09:0010:30
Pastur, L (Kharkov)
Tuesday 15 July 2008, 09:0010:30
Cambridge University
5485
http://sms.cam.ac.uk/media/1169
Introduction to spectral theory (3)
Pastur, L (Kharkov)
Tuesday 15 July 2008, 09:0010:30
General frameworks of ergodic theory, ergodic theorems (additive and subadditive). Selfadjoint ergodic operators and their basic spectral properties (selfadjointess, nonrandomness of the spectrum and its components). Examples and heuristics.
http://www.newton.ac.uk/programmes/MPA/seminars/071509001.html
20130228T13:12:14+00:00
5485
1169
true
4x3
false
no

Introduction to spectral theory (4)
ucs_sms_113_1171
http://sms.cam.ac.uk/media/1171
Introduction to spectral theory (4)
Pastur, L (Kharkov)
Tuesday 15 July 2008, 14:0015:30
Fri, 18 Jul 2008 09:55:44 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
e4c04f484e4e594e0ce4c3a6c3492365
91d238789d9caca5c5fe9e17197b58cf
c4ae6c7b44a0c3109c251f32ea82fbf7
ffea0512959116199b419d2dfb472e47
Pastur, L (Kharkov)
Tuesday 15 July 2008, 14:0015:30
Pastur, L (Kharkov)
Tuesday 15 July 2008, 14:0015:30
Cambridge University
5451
http://sms.cam.ac.uk/media/1171
Introduction to spectral theory (4)
Pastur, L (Kharkov)
Tuesday 15 July 2008, 14:0015:30
Integrated Density of States: existence, continuity, Wegner lemma, asymptotic behavior on spectrum edges, including the Lifshitz tails. Correlation functions (moments of spectral measure) and their spectral and physical meaning.
http://www.newton.ac.uk/programmes/MPA/seminars/071514001.html
20130228T13:12:04+00:00
5451
1171
true
4x3
false
no

Introduction to spectral theory (5)
ucs_sms_113_1175
http://sms.cam.ac.uk/media/1175
Introduction to spectral theory (5)
Pastur, L (Kharkov)
Wednesday 16 July 2008, 09:0010:30
Fri, 18 Jul 2008 16:38:10 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
3ba2a2e346afd5d09d52357e9d17f954
ebcb26b730711d3efb3fbe5dc4327f41
5aee8ab043d98bf255bc986cdfc154f4
887fbee3c5ca0302c72539d63aa438c3
Pastur, L (Kharkov)
Wednesday 16 July 2008, 09:0010:30
Pastur, L (Kharkov)
Wednesday 16 July 2008, 09:0010:30
Cambridge University
4944
http://sms.cam.ac.uk/media/1175
Introduction to spectral theory (5)
Pastur, L (Kharkov)
Wednesday 16 July 2008, 09:0010:30
One dimensional ergodic operators of second order with ergodic coefficients, existence of the Lyapunov exponents, their positivity, typical asymptotic behavior, and the role in the spectral analysis. Pure point spectrum (complete localization) for one dimensional operators with random coefficients.
http://www.newton.ac.uk/programmes/MPA/seminars/071609001.html
20130228T13:11:53+00:00
4944
1175
true
4x3
false
no

Introduction to spectral theory (6)
ucs_sms_113_1178
http://sms.cam.ac.uk/media/1178
Introduction to spectral theory (6)
Pastur, L (Kharkov)
Wednesday 16 July 2008, 16:0017:30
Mon, 21 Jul 2008 14:47:40 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
d5ab91417a16aefaef553d2f704b1f4e
f99aa787c34a0cd399c5629c75ba754e
e66370857674003a3201ccf3bf526105
cc0f221788bf9499e30e968d0834c368
Pastur, L (Kharkov)
Wednesday 16 July 2008, 16:0017:30
Pastur, L (Kharkov)
Wednesday 16 July 2008, 16:0017:30
Cambridge University
5635
http://sms.cam.ac.uk/media/1178
Introduction to spectral theory (6)
Pastur, L (Kharkov)
Wednesday 16 July 2008, 16:0017:30
http://www.newton.ac.uk/programmes/MPA/seminars/071616001.html
20130228T13:11:42+00:00
5635
1178
true
4x3
false
no

Introduction to supermatrix techniques (1)
ucs_sms_113_1165
http://sms.cam.ac.uk/media/1165
Introduction to supermatrix techniques (1)
Fyodorov, Y (Nottingham)
Monday 14 July 2008, 11:0012:30
Wed, 16 Jul 2008 09:41:04 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
0f8633aaf08cc6d90965e7fedbcef56e
3007923960158bb29327b810e4b5d041
3c243234a9680d71ec6e54d03d59406e
47739293241e848d4e421e66caf2abb3
Fyodorov, Y (Nottingham)
Monday 14 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Monday 14 July 2008, 11:0012:30
Cambridge University
5304
http://sms.cam.ac.uk/media/1165
Introduction to supermatrix techniques (1)
Fyodorov, Y (Nottingham)
Monday 14 July 2008, 11:0012:30
Background and motivation. Inverse of the spectral determinant as a Gaussian integral. Reducing negative moments of the GUE spectral determinant to matrix integrals by exploiting the singular value ("polar") parametrization.
http://www.newton.ac.uk/programmes/MPA/seminars/071411001.html
20130228T13:11:32+00:00
5304
1165
true
4x3
false
no

Introduction to supermatrix techniques (2)
ucs_sms_113_1176
http://sms.cam.ac.uk/media/1176
Introduction to supermatrix techniques (2)
Fyodorov, Y (Nottingham)
Wednesday 16 July 2008, 11:0012:30
Mon, 21 Jul 2008 06:57:31 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
52685b98a38421ec05a0d135f625b42c
cf3fa51387bf47db17cf5b309ee8683f
f3e270e5fe611c260e62aaca7a2be955
bef87d16a929c02e768937c2de32da27
Fyodorov, Y (Nottingham)
Wednesday 16 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Wednesday 16 July 2008, 11:0012:30
Cambridge University
4960
http://sms.cam.ac.uk/media/1176
Introduction to supermatrix techniques (2)
Fyodorov, Y (Nottingham)
Wednesday 16 July 2008, 11:0012:30
Exploiting hyperbolic symmetry for asymptotic analysis of the negative moments. Example of a zero dimensional hyperbolic nonlinear sigma model (n.s.m). Failure of the naïve HubbardStratonovich transformation (HST). HST on SchäferWegner domain and reduction to the U(1,1) n.s.m.
20130228T13:11:22+00:00
4960
1176
true
4x3
false
no

Introduction to supermatrix techniques (3)
ucs_sms_113_1180
http://sms.cam.ac.uk/media/1180
Introduction to supermatrix techniques (3)
Fyodorov, Y (Nottingham)
Thursday 17 July 2008, 11:0012:30
Tue, 22 Jul 2008 12:53:56 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
f0ae81495135a6e4db353e3660ab06cc
ab4d761ef33d35e418fdda22a14c1cd6
4a13042fd2c9edb9e54b2a7aeac13d70
7a0b42fd9cd5e25360c58f85eea0f4df
Fyodorov, Y (Nottingham)
Thursday 17 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Thursday 17 July 2008, 11:0012:30
Cambridge University
4658
http://sms.cam.ac.uk/media/1180
Introduction to supermatrix techniques (3)
Fyodorov, Y (Nottingham)
Thursday 17 July 2008, 11:0012:30
HubbardStratonovich transformation on the PruiskenSchäfer domain and reduction to hyperbolic nonlinear sigma model. Grassmann numbers and their basic properties. Spectral determinant as a Gaussian integral over anticommuting variables.
20130228T13:11:12+00:00
4658
1180
true
4x3
false
no

Introduction to supermatrix techniques (4)
ucs_sms_113_1205
http://sms.cam.ac.uk/media/1205
Introduction to supermatrix techniques (4)
Fyodorov, Y (Nottingham)
Monday 21 July 2008, 11:0012:30
Wed, 30 Jul 2008 11:31:29 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
6a17c9e959af94bcce6107563b7d6164
ef92d1316d8afe62b25ecfefb6bcd8ea
5c2e3d83933c72175e8c20d19a024da3
94b1b58328389aa2f03d8531731ccedc
Fyodorov, Y (Nottingham)
Monday 21 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Monday 21 July 2008, 11:0012:30
Cambridge University
5171
http://sms.cam.ac.uk/media/1205
Introduction to supermatrix techniques (4)
Fyodorov, Y (Nottingham)
Monday 21 July 2008, 11:0012:30
Analysis of positive moments of spectral determinant for GUE by HubbardStratonovich and by bosonisation identity. Compact version of the nonlinear sigma model. Resolvents as the main objects of interest. Basics of supercalculus.
20130228T13:11:04+00:00
5171
1205
true
4x3
false
no

Introduction to supermatrix techniques (5)
ucs_sms_113_1250
http://sms.cam.ac.uk/media/1250
Introduction to supermatrix techniques (5)
Fyodorov, Y (Nottingham)
Wednesday 23 July 2008, 11:0012:30
Wed, 06 Aug 2008 17:51:19 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
eb524a804f8261288f96338ae9267dd0
7352faf21a1a5f2228fa6b06af3d7036
69d69f5185a56c323bc9cd0341478c7d
c3642564b2b8753272ba1bf19200fb58
Fyodorov, Y (Nottingham)
Wednesday 23 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Wednesday 23 July 2008, 11:0012:30
Cambridge University
6028
http://sms.cam.ac.uk/media/1250
Introduction to supermatrix techniques (5)
Fyodorov, Y (Nottingham)
Wednesday 23 July 2008, 11:0012:30
From the lattice of coupled GUEs to the lattice version of nonlinear sigma model. Brief overview of nonlinear sigma model beyond zero dimension. Onedimensional sigmamodel: localisation. Delocalisation transition as a phenomenon of spontaneous symmetry breaking.
20130228T13:10:54+00:00
6028
1250
true
4x3
false
no

Introduction to supermatrix techniques (6)
ucs_sms_113_1335
http://sms.cam.ac.uk/media/1335
Introduction to supermatrix techniques (6)
Fyodorov, Y (Nottingham)
Thursday 24 July 2008, 11:0012:30
Wed, 20 Aug 2008 08:17:06 +0100
Fyodorov, Y
Isaac Newton Institute
Fyodorov, Y
f348b06a45559a492cc11c43e98630e9
fc27d5f1587cda02ceb9801a6e394781
e5ee57676e73ec5003006fcfcca4a5b1
63409edd763ae8e2a86df0c271712854
Fyodorov, Y (Nottingham)
Thursday 24 July 2008, 11:0012:30
Fyodorov, Y (Nottingham)
Thursday 24 July 2008, 11:0012:30
Cambridge University
5922
http://sms.cam.ac.uk/media/1335
Introduction to supermatrix techniques (6)
Fyodorov, Y (Nottingham)
Thursday 24 July 2008, 11:0012:30
From the lattice of coupled GUEs to the lattice version of nonlinear sigma model. Brief overview of nonlinear sigma model beyond zero dimension. Onedimensional sigmamodel: localisation. Delocalisation transition as a phenomenon of spontaneous symmetry breaking.
20130228T13:10:44+00:00
5922
1335
true
4x3
false
no

Kinetic transport in the periodic Lorentz gas
ucs_sms_113_1341
http://sms.cam.ac.uk/media/1341
Kinetic transport in the periodic Lorentz gas
Marklof, J (Bristol)
Tuesday 05 August 2008, 14:0015:00
Fri, 22 Aug 2008 07:19:56 +0100
Marklof, J
Isaac Newton Institute
Marklof, J
77fc3eb4e0e3a180c88ad44342661db8
0c7f719b0d9da361ebc3cfc778e9bb97
f076703da77b78254d40c0f966e5791b
53717e80956286bb95f233eb12168d61
Marklof, J (Bristol)
Tuesday 05 August 2008, 14:0015:00
Marklof, J (Bristol)
Tuesday 05 August 2008, 14:0015:00
Cambridge University
4142
http://sms.cam.ac.uk/media/1341
Kinetic transport in the periodic Lorentz gas
Marklof, J (Bristol)
Tuesday 05 August 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/080514001.html
20130228T13:10:34+00:00
4142
1341
true
4x3
false
no

Kolmogorov turbulence, Anderson localization and KAM integrability
ucs_sms_113_1313808
http://sms.cam.ac.uk/media/1313808
Kolmogorov turbulence, Anderson localization and KAM integrability
Shepelyansky, D (Université Paul Sabatier Toulouse III)
Wednesday 19 September 2012, 11:5012:30
Mon, 24 Sep 2012 09:45:56 +0100
Isaac Newton Institute
Shepelyansky, D
b4913365a5f0e541be5dab4079dc2a4b
a98e0f3effa6440d630c44b0dde7b95b
0911b0432156d5e5acf6515e983a306e
Shepelyansky, D (Université Paul Sabatier Toulouse III)
Wednesday 19 September...
Shepelyansky, D (Université Paul Sabatier Toulouse III)
Wednesday 19 September 2012, 11:5012:30
Cambridge University
2704
http://sms.cam.ac.uk/media/1313808
Kolmogorov turbulence, Anderson localization and KAM integrability
Shepelyansky, D (Université Paul Sabatier Toulouse III)
Wednesday 19 September 2012, 11:5012:30
20120924T09:46:14+01:00
2704
1313808
true
16x9
false
no

LiebRobinson bounds for harmonic and anharmonic lattice systems
ucs_sms_113_25458
http://sms.cam.ac.uk/media/25458
LiebRobinson bounds for harmonic and anharmonic lattice systems
Schlein, B (Cambridge)
Tuesday 07 October 2008, 14:0015:00
Fri, 31 Oct 2008 10:44:27 +0000
Schlein, B
Isaac Newton Institute
Schlein, B
065a44df97b9ed32494f7a5a5c9ae984
2c1f741bccb4586624da3cf86dceb1d1
56fa62e205cffbd9c678eb343a4a0644
8bba65af9f70cca65acaa1a61b7fbf6a
Schlein, B (Cambridge)
Tuesday 07 October 2008, 14:0015:00
Schlein, B (Cambridge)
Tuesday 07 October 2008, 14:0015:00
Cambridge University
3895
http://sms.cam.ac.uk/media/25458
LiebRobinson bounds for harmonic and anharmonic lattice systems
Schlein, B (Cambridge)
Tuesday 07 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:10:19+00:00
3895
25458
true
4x3
false
no

Local semicircle law and complete delocalization for Wigner random matrices
ucs_sms_113_1534
http://sms.cam.ac.uk/media/1534
Local semicircle law and complete delocalization for Wigner random matrices
Yau, HT (Harvard)
Monday 18 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 01:05:16 +0100
Yau, HT
Isaac Newton Institute
Yau, HT
c8cccd0d2d27b4d2d40e97bffd7adceb
57d9b48cc97e8df1f24edfd1e40d5888
efea3a776b93c712796200d749f34be3
0be22131ac053b0b37d24f3da9bd391a
Yau, HT (Harvard)
Monday 18 August 2008, 15:3016:30
Anderson Localization...
Yau, HT (Harvard)
Monday 18 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Cambridge University
2773
http://sms.cam.ac.uk/media/1534
Local semicircle law and complete delocalization for Wigner random matrices
Yau, HT (Harvard)
Monday 18 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
We consider $N\times N$ Hermitian random matrices with independent identical distributed entries. The matrix is normalized so that the average spacing between consecutive eigenvalues is of order 1/N. Under suitable assumptions on the distribution of the single matrix element, we prove that, away from the spectral edges, the density of eigenvalues concentrates around the Wigner semicircle law on energy scales $\eta \gg N^{1} (\log N)^8$. Up to the logarithmic factor, this is the smallest energy scale for which the semicircle law may be valid. We also prove that for all eigenvalues away from the spectral edges, the $\ell^\infty$norm of the corresponding eigenvectors is of order $O(N^{1/2})$, modulo logarithmic corrections. The upper bound $O(N^{1/2})$ implies that every eigenvector is completely delocalized, i.e., the maximum size of the components of the eigenvector is of the same order as their average size.
http://www.newton.ac.uk/programmes/MPA/seminars/081815301.html
20130228T13:10:09+00:00
2773
1534
true
4x3
false
no

Localisation bounds for multiparticle systems
ucs_sms_113_516411
http://sms.cam.ac.uk/media/516411
Localisation bounds for multiparticle systems
Aizenman, M (Princeton)
Thursday 30 October 2008, 14:0015:00
Mon, 05 Jan 2009 11:07:19 +0000
Aizenman, M
Isaac Newton Institute
Aizenman, M
9acdc2a00726f0139de60baf85d735aa
1f2802f72c9d1e0c100038bb1a2881bc
bc48523a9f9aa48d84243acc2cde3be5
030b8d188fa12fd87170d0bcf42d66b9
Aizenman, M (Princeton)
Thursday 30 October 2008, 14:0015:00
Aizenman, M (Princeton)
Thursday 30 October 2008, 14:0015:00
Cambridge University
3782
http://sms.cam.ac.uk/media/516411
Localisation bounds for multiparticle systems
Aizenman, M (Princeton)
Thursday 30 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:09:59+00:00
3782
516411
true
4x3
false
no

Localisation for random block operators
ucs_sms_113_1305533
http://sms.cam.ac.uk/media/1305533
Localisation for random block operators
Müller, P (LudwigMaximiliansUniversität München)
Monday 17 September 2012, 16:5017:30
Fri, 21 Sep 2012 11:18:24 +0100
Isaac Newton Institute
Müller, P
20e13322a992cd8d7ef1eef471c61ad1
2def3602ad392cb4d066108575a6ee34
302fb5c1fbdf903c9c48a64f68b422ea
Müller, P (LudwigMaximiliansUniversität München)
Monday 17 September 2012,...
Müller, P (LudwigMaximiliansUniversität München)
Monday 17 September 2012, 16:5017:30
Cambridge University
2493
http://sms.cam.ac.uk/media/1305533
Localisation for random block operators
Müller, P (LudwigMaximiliansUniversität München)
Monday 17 September 2012, 16:5017:30
We study spectral properties of random block operators that are common in the physical modelling of mesoscopic disordered systems such as dirty superconductors. Our results include ergodic properties, the location of the spectrum, existence and regularity of the integrated density of states (Wegner estimate), Lifshits tails and dynamical localisation in a neighbourhood of the internal band edges. Special attention is paid to the peculiarities arising from the block structure. Technically, one has to cope with a nonmonotone dependence on the random couplings.
20120921T11:18:40+01:00
2493
1305533
true
16x9
false
no

Localisation on the AvronExherLast lattice
ucs_sms_113_1342
http://sms.cam.ac.uk/media/1342
Localisation on the AvronExherLast lattice
Molchanov, S (North Carolina)
Thursday 07 August 2008, 14:0015:00
Fri, 22 Aug 2008 10:28:40 +0100
Molchanov, S
Isaac Newton Institute
Molchanov, S
7ad3cbcb44426873c4b08bc2249e3ffb
a75c80378d76c88403ffead26f4d3d93
b92ac0f71497953383d4bc4b7bf65c2f
be4dfd48ece42d44296afcae561d87d3
Molchanov, S (North Carolina)
Thursday 07 August 2008, 14:0015:00
Molchanov, S (North Carolina)
Thursday 07 August 2008, 14:0015:00
Cambridge University
4133
http://sms.cam.ac.uk/media/1342
Localisation on the AvronExherLast lattice
Molchanov, S (North Carolina)
Thursday 07 August 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/080714001.html
20130228T13:17:04+00:00
4133
1342
true
4x3
false
no

Localization and delocalization in quantum hall systems
ucs_sms_113_521757
http://sms.cam.ac.uk/media/521757
Localization and delocalization in quantum hall systems
Germinet, F (Université de CergyPontoise)
Friday 19 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 17:53:21 +0000
Germinet, F
Isaac Newton Institute
Germinet, F
43e5792c8ea0bff864cafd9720a9e600
c7df251f898f6133b8b0342aac7e97c7
6e0f163b8c7e9352c8a3eeff5aa87b76
a156c8a1b9e47a4f72ffc7b831129950
Germinet, F (Université de CergyPontoise)
Friday 19 December 2008,...
Germinet, F (Université de CergyPontoise)
Friday 19 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3540
http://sms.cam.ac.uk/media/521757
Localization and delocalization in quantum hall systems
Germinet, F (Université de CergyPontoise)
Friday 19 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
We shall present recent results on localization and delocalization in quantum Hall systems. Anderson potentials are known to be relevant for a mathematical proof of the existence of plateaux in the integer quantum Hall effect. Moreover, for such models, a dynamical statement of delocalization can be proved near the Landau levels, implying a dynamical Anderson transition for such models. Last results include the case where the Landau gaps are closed. We may then mention recent results concerning quantum Hall currents.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:16:51+00:00
3540
521757
true
4x3
false
no

Localization bounds for multiparticle systems
ucs_sms_113_521006
http://sms.cam.ac.uk/media/521006
Localization bounds for multiparticle systems
Warzel, S (Technischen Universität München)
Tuesday 16 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 17:34:39 +0000
Warzel, S
Isaac Newton Institute
Warzel, S
6fcba12e387c6deb3f06c2fea80cf5a9
392349144de9077facbd8370206c7091
e6a8d88bc618b3b520be4f045e9c0906
01eb79cfd982de37501e7290df6585af
Warzel, S (Technischen Universität München)
Tuesday 16 December 2008,...
Warzel, S (Technischen Universität München)
Tuesday 16 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3720
http://sms.cam.ac.uk/media/521006
Localization bounds for multiparticle systems
Warzel, S (Technischen Universität München)
Tuesday 16 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
We consider the spectral and dynamical properties of quantum systems of N particles on the lattice $Z^d$, of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the lattice sites and a finiterange interaction. Two basic parameters of the model are the strength of the disorder and the strength of the interparticle interaction. It is established here that for all N there are regimes of high disorder, and/or weak enough interactions, for which the system exhibits spectral and dynamical localization. The localization bounds are expressed in terms of exponential decay in the Hausdorff distance in the configuration space. The results are derived through the analysis of fractional moments of the Nparticle Green function, and related bounds on the eigenfunction correlators.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:16:40+00:00
3720
521006
true
4x3
false
no

Localization for Linearly Reinforced Random Walks and Vertex Reinforced Jump Processes (iii)
ucs_sms_113_1313837
http://sms.cam.ac.uk/media/1313837
Localization for Linearly Reinforced Random Walks and Vertex Reinforced Jump Processes (iii)
Crawford, N (Technion  Israel Institute of Technology)
Wednesday 19 September 2012, 14:2015:00
Mon, 24 Sep 2012 10:01:55 +0100
Isaac Newton Institute
Crawford, N
969fb64b86619ed0e6a0bf6c802a5e51
68b0bf3bd34f3c78645e527fd56f4529
6153874b753631908d2c82f01369fa29
Crawford, N (Technion  Israel Institute of Technology)
Wednesday 19 September...
Crawford, N (Technion  Israel Institute of Technology)
Wednesday 19 September 2012, 14:2015:00
Cambridge University
2346
http://sms.cam.ac.uk/media/1313837
Localization for Linearly Reinforced Random Walks and Vertex Reinforced Jump Processes (iii)
Crawford, N (Technion  Israel Institute of Technology)
Wednesday 19 September 2012, 14:2015:00
20120924T10:02:12+01:00
2346
1313837
true
16x9
false
no

Localization for random divergence operators
ucs_sms_113_1186
http://sms.cam.ac.uk/media/1186
Localization for random divergence operators
Najar, H (Kairouan)
Friday 18 July 2008, 16:0016:45
Fri, 25 Jul 2008 11:59:25 +0100
Najar, H
Isaac Newton Institute
Najar, H
20354d94ef1e2d3f9d2f34ec7b4822fc
f69a5db5aa40e6d4a9117e7cfa4140e9
a6928269adcc7daacb546859b3de06a4
3fa3870d151f53d5091743bc243ff474
Najar, H (Kairouan)
Friday 18 July 2008, 16:0016:45
Najar, H (Kairouan)
Friday 18 July 2008, 16:0016:45
Cambridge University
2850
http://sms.cam.ac.uk/media/1186
Localization for random divergence operators
Najar, H (Kairouan)
Friday 18 July 2008, 16:0016:45
In this work we study internal band edges localization of random operators in divergence form. Our results rely on the study of Lifshitz tails for the integrated density of states for random the operators of the form $H_{\omega}=\sum_{i,j=1}^d\partial_{x_{i}}a_{i,j}(x,\omega)\partial_{x_j}$. Localization is then deduced by the standard multiscale argument. In dimension one and two we get results with weaker assumptions.
20130228T13:16:25+00:00
2850
1186
true
4x3
false
no

Localization for Schrödinger operators with Delone potentials
ucs_sms_113_1303779
http://sms.cam.ac.uk/media/1303779
Localization for Schrödinger operators with Delone potentials
Germinet, F (Université de CergyPontoise)
Monday 17 September 2012, 11:5012:30
Thu, 20 Sep 2012 16:35:45 +0100
Isaac Newton Institute
Germinet, F
b32edc028529b7ae3779f1240c1383a4
b8d4c96a9b637d1cf8810347ba3418c3
32d77ce8949219afaa3dc1449ad7b1b6
Germinet, F (Université de CergyPontoise)
Monday 17 September 2012,...
Germinet, F (Université de CergyPontoise)
Monday 17 September 2012, 11:5012:30
Cambridge University
2514
http://sms.cam.ac.uk/media/1303779
Localization for Schrödinger operators with Delone potentials
Germinet, F (Université de CergyPontoise)
Monday 17 September 2012, 11:5012:30
We prove that a large family of Delone Schrödinger operators exhibit Anderson localization. The proof relies on the analysis of random Schrödinger operators with a Delone Background potential and a DeloneBernoulli random potential. Joint work with P. Mueller et C. RojasMolina.
20120920T16:36:02+01:00
2514
1303779
true
16x9
false
no

Long time Anderson localization for the nonlinear random Schroedinger equation
ucs_sms_113_520833
http://sms.cam.ac.uk/media/520833
Long time Anderson localization for the nonlinear random Schroedinger equation
Wang, WM (Université ParisSud 11 )
Monday 15 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 12:43:07 +0000
Wang, WM
Isaac Newton Institute
Wang, WM
eef573cc820b8edc0e95999e7928e464
f1af20f9acc47dfa35e159e421b2f2b0
cdf0db11ed2aa78adb6fdfb7ad607556
f70f9d6788a2790512d1a58c8c9d4769
Wang, WM (Université ParisSud 11 )
Monday 15 December 2008,...
Wang, WM (Université ParisSud 11 )
Monday 15 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3224
http://sms.cam.ac.uk/media/520833
Long time Anderson localization for the nonlinear random Schroedinger equation
Wang, WM (Université ParisSud 11 )
Monday 15 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
We prove long time Anderson localization for the nonlinear random Schroedinger equation, giving an answer to a widely debated question in the physics community. I will conjecture Arnold type diffusion in the infinite time limit, which is also supported by my work on the time dependent linear Schroedinger equation on the circle.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:16:09+00:00
3224
520833
true
4x3
false
no

Lubinsky universality and clock spacing for ergodic orthogonal polynomials
ucs_sms_113_520895
http://sms.cam.ac.uk/media/520895
Lubinsky universality and clock spacing for ergodic orthogonal polynomials
Simon, B (CALTECH)
Tuesday 16 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 15:09:47 +0000
Simon, B
Steve Greenham
Isaac Newton Institute
Simon, B
1f82033f07859cc38133c2133e4f9aa3
8c473fb68312f759c44214f4f4d2291e
46ace32a5cd5eb5ebf647c6ecff95d54
048d463cc431fe9ca314554fd0b3aaf9
Simon, B (CALTECH)
Tuesday 16 December 2008, 09:0010:00
Classical and...
Simon, B (CALTECH)
Tuesday 16 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3456
http://sms.cam.ac.uk/media/520895
Lubinsky universality and clock spacing for ergodic orthogonal polynomials
Simon, B (CALTECH)
Tuesday 16 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
We present background and the proof of universality for ergodic Jacobi matrices with a.c. spectrum. This includes cases where the support of the measure is a positive measure Cantor set. This describes joint work with Artur Avila and Yoram Last.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:15:30+00:00
3456
520895
true
4x3
false
no

Luttinger liquid with a sideattached resonant impurity
ucs_sms_113_25184
http://sms.cam.ac.uk/media/25184
Luttinger liquid with a sideattached resonant impurity
Lerner, I (Birmingham)
Tuesday 16 September 2008, 14:0015:00
Thu, 30 Oct 2008 11:50:34 +0000
Lerner, I
Isaac Newton Institute
Lerner, I
7f842ad070b01eb7b5624d482f31b9ab
a552b920d28c74180463b956bd68ced2
198eeea453220c2005bb7badcd0f3a9e
ded517784ee33d64f6fcebbff1ce5df1
Lerner, I (Birmingham)
Tuesday 16 September 2008, 14:0015:00
Lerner, I (Birmingham)
Tuesday 16 September 2008, 14:0015:00
Cambridge University
3867
http://sms.cam.ac.uk/media/25184
Luttinger liquid with a sideattached resonant impurity
Lerner, I (Birmingham)
Tuesday 16 September 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:15:18+00:00
3867
25184
true
4x3
false
no

Lyapunov exponents of randomly coupled wires: a perturbative calculation
ucs_sms_113_1266
http://sms.cam.ac.uk/media/1266
Lyapunov exponents of randomly coupled wires: a perturbative calculation
Sadel, C (Erlangen)
Wednesday 23 July 2008, 16:0016:45
Fri, 08 Aug 2008 06:47:53 +0100
Sadel, C
Isaac Newton Institute
Sadel, C
b9268b83ba1ede9184e6ded7afb4ce87
c930dc9d4110ebeb13dc3494b4f4fd6d
7f674afc9d1aef56dfa6344224767887
ff5dbea9c9d9382dc16deb6dff5b3bb6
Sadel, C (Erlangen)
Wednesday 23 July 2008, 16:0016:45
Sadel, C (Erlangen)
Wednesday 23 July 2008, 16:0016:45
Cambridge University
3533
http://sms.cam.ac.uk/media/1266
Lyapunov exponents of randomly coupled wires: a perturbative calculation
Sadel, C (Erlangen)
Wednesday 23 July 2008, 16:0016:45
We consider L discrete wires with a random potential and random hopping terms across the wires with magnetic phases. The random terms are centered, independent, identically distributed along the wires and coupled with some small constant. Associated to such a Hamiltonian are 2L by 2L transfer matrices. To calculate the mean Lyapunov exponent, one has to consider the induced Markov process on a Lagrangian Grassmanian manifold which is diffeomorphic to the unitary group U(L). We obtain that the lowest order invariant measure for this Markov process on U(L) is given by the Haar measure for nonzero energies E<2 and some smooth density for E=0. Furthermore we get a perturbative expression for the mean Lyapunov exponent. In case L=1 the dynamics on U(1) is just the dynamics of the Pruefer phases and the model would be the onedimensional Anderson model. The result away from E=0 is known as random phase approximation and the anomaly at the bandcenter, E=0, was first found by Kappus and Wegner. To get this result we first consider an abstract setting. Let be given a Markov process on some compact homogeneous space induced by the action of a random family of Lie group elements, where the random terms are coupled with some small constant. Under certain conditions we can prove, that the invariant measure for this process is unique to lowest order and given by a smooth density which is the ground state of a FokkerPlanck operator. Finally we will see, that this theorem can be used in the example described above.
20111222T09:06:58+00:00
3533
1266
true
4x3
false
no

Maximal entropy random walk
ucs_sms_113_516530
http://sms.cam.ac.uk/media/516530
Maximal entropy random walk
Luck, JM (CEA Saclay)
Tuesday 25 November 2008, 14:0015:00
Mon, 05 Jan 2009 16:58:27 +0000
Luck, JM
Steve Greenham
Isaac Newton Institute
Luck, JM
f9118f8c34b4ceada12d135df5bd3418
7a114549df0b24931887f59d177c73dd
acd6dc7fb626fd298366d5fbf60f6aa8
751c6a30083b36c1d84f0e6385669ac1
Luck, JM (CEA Saclay)
Tuesday 25 November 2008, 14:0015:00
Luck, JM (CEA Saclay)
Tuesday 25 November 2008, 14:0015:00
Cambridge University
3304
http://sms.cam.ac.uk/media/516530
Maximal entropy random walk
Luck, JM (CEA Saclay)
Tuesday 25 November 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:14:56+00:00
3304
516530
true
4x3
false
no

Near integrable systems
ucs_sms_113_1315417
http://sms.cam.ac.uk/media/1315417
Near integrable systems
Bogomolny, E (Université ParisSud 11)
Friday 21 September 2012, 11:1011:50
Tue, 25 Sep 2012 15:33:37 +0100
Isaac Newton Institute
Bogomolny, E
184937ab62880d9e2e4565406ec7b061
85f1ceacbb083bb31619127caf6a3f59
0d50b5b83d41c966629156a50208ce5d
Bogomolny, E (Université ParisSud 11)
Friday 21 September 2012, 11:1011:50
Bogomolny, E (Université ParisSud 11)
Friday 21 September 2012, 11:1011:50
Cambridge University
2453
http://sms.cam.ac.uk/media/1315417
Near integrable systems
Bogomolny, E (Université ParisSud 11)
Friday 21 September 2012, 11:1011:50
A twodimensional circular quantum billiard with unusual boundary conditions introduced by Berry and Dennis (J Phys A 41 (2008) 135203) is considered in detail. It is demonstrated that most of its eigenfunctions are strongly localized and the corresponding eigenvalues are close to eigenvalues of the circular billiard with Neumann boundary conditions. Deviations from strong localization are also discussed. The results agree well with numerical calculations.
20120925T15:33:54+01:00
2453
1315417
true
16x9
false
no

New results on Rademacher Fourier and Taylor series
ucs_sms_113_1314126
http://sms.cam.ac.uk/media/1314126
New results on Rademacher Fourier and Taylor series
Sodin, M (Tel Aviv University)
Thursday 20 September 2012, 09:3010:10
Mon, 24 Sep 2012 12:43:48 +0100
Isaac Newton Institute
Sodin, M
a0ddb30202b5929efd464325e5922ff8
2dbcc0cdb2bd061579f42f5339f65d2e
cc78811d0c84424131c216c882861072
Sodin, M (Tel Aviv University)
Thursday 20 September 2012, 09:3010:10
Sodin, M (Tel Aviv University)
Thursday 20 September 2012, 09:3010:10
Cambridge University
2010
http://sms.cam.ac.uk/media/1314126
New results on Rademacher Fourier and Taylor series
Sodin, M (Tel Aviv University)
Thursday 20 September 2012, 09:3010:10
This is a report on a joint work in progress with Fedor Nazarov and Alon Nishry. We prove that any power of the logarithm of Rademacher Fourier series (i.e. a square summable Fourier series with random independent signs) is integrable. This result has several applications to zeroes and valuedistribution of random Talor series. One of this applications gives asymptotics for the counting function of zeroes of arbitrary Taylor series with random independent signs, and proves their angular equidistribution. Another application answers an old question by J.P.Kahane.
20120924T12:44:06+01:00
2010
1314126
true
16x9
false
no

Newton's Method and Localization
ucs_sms_113_1303764
http://sms.cam.ac.uk/media/1303764
Newton's Method and Localization
Imbrie, J (University of Virginia)
Monday 17 September 2012, 11:1011:50
Thu, 20 Sep 2012 16:28:27 +0100
Isaac Newton Institute
Imbrie, J
23f0809e651d564058ee1c1f6094a957
132d34f6c469dacb7953120581cf619d
47476f7db81c88a77cdc1627aca34814
Imbrie, J (University of Virginia)
Monday 17 September 2012, 11:1011:50
Imbrie, J (University of Virginia)
Monday 17 September 2012, 11:1011:50
Cambridge University
2683
http://sms.cam.ac.uk/media/1303764
Newton's Method and Localization
Imbrie, J (University of Virginia)
Monday 17 September 2012, 11:1011:50
We show how a scheme based on Newton's method can be used to diagonalize a random Hamiltonian. This leads to results on localization at strong disorder for Anderson tightbinding models and for manybody Hamiltonians.
20120920T16:28:45+01:00
2683
1303764
true
16x9
false
no

NLS turbulence
ucs_sms_113_25611
http://sms.cam.ac.uk/media/25611
NLS turbulence
Nazarenko, S (Warwick)
Thursday 09 October 2008, 11:0012:00
Fri, 31 Oct 2008 16:14:03 +0000
Nazarenko, S
Isaac Newton Institute
Nazarenko, S
d75d8f587921d2d53a317da5f11bbf54
e288fc569a22d2819160b72820fcb7e1
fcaeec8eb1ab0d4553299b8708853cb4
e2d0a2778a2c1476e8eadc9d0dd347d7
Nazarenko, S (Warwick)
Thursday 09 October 2008, 11:0012:00
Nazarenko, S (Warwick)
Thursday 09 October 2008, 11:0012:00
Cambridge University
5175
http://sms.cam.ac.uk/media/25611
NLS turbulence
Nazarenko, S (Warwick)
Thursday 09 October 2008, 11:0012:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:14:25+00:00
5175
25611
true
4x3
false
no

NonHermitian Anderson model on a strip: properties of eigenvalues and eigenfunctions
ucs_sms_113_1537
http://sms.cam.ac.uk/media/1537
NonHermitian Anderson model on a strip: properties of eigenvalues and eigenfunctions
Goldsheid, I (QMUL)
Tuesday 19 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 08:13:31 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
dff9fdba8b52dc77c15365ecf91b6cc1
24e8a4999c5020a7b160347e8375a82f
8fbf1062114fa1775837c0585d88299c
f158198fa19c139a825414e1d93d525a
Goldsheid, I (QMUL)
Tuesday 19 August 2008, 15:3016:30
Anderson Localization...
Goldsheid, I (QMUL)
Tuesday 19 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Cambridge University
3592
http://sms.cam.ac.uk/media/1537
NonHermitian Anderson model on a strip: properties of eigenvalues and eigenfunctions
Goldsheid, I (QMUL)
Tuesday 19 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
http://www.newton.ac.uk/programmes/MPA/seminars/081915301.html
20130228T13:14:15+00:00
3592
1537
true
4x3
false
no

Nonlinear diffusion in a random environment
ucs_sms_113_521551
http://sms.cam.ac.uk/media/521551
Nonlinear diffusion in a random environment
Kupiainen, A (Helsinki)
Thursday 18 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 12:48:57 +0000
Kupiainen, A
Isaac Newton Institute
Kupiainen, A
22ddccc9ef9b9b5b0f9493a137cee59a
bd4c3221af5bb3812593dea1cd0d58aa
740a65c0caa347d49454935993ab18bc
6eaf2552c7337f00ddcad490abe955bc
Kupiainen, A (Helsinki)
Thursday 18 December 2008, 14:0015:00
Classical and...
Kupiainen, A (Helsinki)
Thursday 18 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3399
http://sms.cam.ac.uk/media/521551
Nonlinear diffusion in a random environment
Kupiainen, A (Helsinki)
Thursday 18 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
We discuss dynamics of coupled map lattices where local dynamics consists of one conserved quantity ("energy") and other degrees of freedom are chaotic. Upon coupling only total energy is conserved and should diffuse. The model can be mapped to a nonlinear version of random walks in a random environment. We use renormalization group to establish the diffusive behavior.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:14:03+00:00
3399
521551
true
4x3
false
no

Nonlinearity, interactions and Anderson localisation
ucs_sms_113_26277
http://sms.cam.ac.uk/media/26277
Nonlinearity, interactions and Anderson localisation
Shepelyansky, D (Toulouse)
Tuesday 14 October 2008, 14:0015:00
Wed, 05 Nov 2008 09:23:02 +0000
Shepelyansky, D
Isaac Newton Institute
Shepelyansky, D
44d2fc607f987b51c3622d43b088ebdc
11565f4e91ba88202fc44497af105938
522d9e505b2f571155d29983256f356a
42d767ee58d3fa92ad2ca6ba1bf0ebd9
Shepelyansky, D (Toulouse)
Tuesday 14 October 2008, 14:0015:00
Shepelyansky, D (Toulouse)
Tuesday 14 October 2008, 14:0015:00
Cambridge University
3898
http://sms.cam.ac.uk/media/26277
Nonlinearity, interactions and Anderson localisation
Shepelyansky, D (Toulouse)
Tuesday 14 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:13:51+00:00
3898
26277
true
4x3
false
no

On a perceptron version of the Generalized Random Energy Model
ucs_sms_113_520341
http://sms.cam.ac.uk/media/520341
On a perceptron version of the Generalized Random Energy Model
Bolthausen, E (Zürich)
Monday 15 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 08:39:06 +0000
Bolthausen, E
Isaac Newton Institute
Bolthausen, E
f59b2626d67b08c3c3d968e150e5b539
3fdd8267b486b9d51afe06ea855b9866
89e7b2184914cd979a9e1af81746885d
d9ea3f5e0c16694e1663a95823c1b9f7
Bolthausen, E (Zürich)
Monday 15 December 2008, 11:3012:30
Classical and...
Bolthausen, E (Zürich)
Monday 15 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3459
http://sms.cam.ac.uk/media/520341
On a perceptron version of the Generalized Random Energy Model
Bolthausen, E (Zürich)
Monday 15 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
We consider a macroscopically large family of cavity variables whose covariances are given in a hierarchical way, similar to Derrida's generalized random energy model. The model is similar to the perceptron where the cavity variables have a covariance structure given by the overlaps of two spin configurations. We therefore call the model a perceptron version of the GREM. In contrast to the GREM itself, the model has a rich asymptotic behavior. The free energy is given by a formula which closely resembles the Parisi formula for the SK model. The limiting ultrametric structure depends in a complicated way on the the temperature parameter. Also, in contrast to the GREM, the model has the chaos property (in temperature).
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After
20130228T13:13:41+00:00
3459
520341
true
4x3
false
no

On distribution of zeros of polynomials approximating exponential type entire functions
ucs_sms_113_1532
http://sms.cam.ac.uk/media/1532
On distribution of zeros of polynomials approximating exponential type entire functions
Kotani, S (Osaka)
Monday 18 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Fri, 19 Sep 2008 21:34:00 +0100
Kotani, S
Isaac Newton Institute
Kotani, S
18efa818a49edb0acead86769fd39cbb
d9d27831b1a18d1e42febd645f641a5c
df1afa7d64ee93441e8cb296c76152e0
60f1d908d574a64ed5f413b09ac0c759
Kotani, S (Osaka)
Monday 18 August 2008, 11:3012:30
Anderson Localization...
Kotani, S (Osaka)
Monday 18 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Cambridge University
2847
http://sms.cam.ac.uk/media/1532
On distribution of zeros of polynomials approximating exponential type entire functions
Kotani, S (Osaka)
Monday 18 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
We discuss the limiting behavior of the distribution of zeros of a certain class of polynomials when their degrees increase to infinity. A special case is polynomials which are obtained as a Maclaulin expansion of the exponential function and in this case,after a suitable normalization, the set of zeros converges to a smooth curve with a singulality at 1. Several generalizations will be presented.
http://www.newton.ac.uk/programmes/MPA/seminars/081811301.html
20130228T13:13:30+00:00
2847
1532
true
4x3
false
no

On level spacings for onedimensional Schroedinger operators
ucs_sms_113_521518
http://sms.cam.ac.uk/media/521518
On level spacings for onedimensional Schroedinger operators
Last, Y (Hebrew University of Jerusalem)
Thursday 18 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 11:02:51 +0000
Last, Y
Isaac Newton Institute
Last, Y
211545e409084b2ba89e2d97938ccdc0
109c128d224f61117e4fe1337856c08d
f08e4a935baba759962f89569e4fc98f
3bc9d8a57a7a41e69a279e0d11b50c7a
Last, Y (Hebrew University of Jerusalem)
Thursday 18 December 2008,...
Last, Y (Hebrew University of Jerusalem)
Thursday 18 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3164
http://sms.cam.ac.uk/media/521518
On level spacings for onedimensional Schroedinger operators
Last, Y (Hebrew University of Jerusalem)
Thursday 18 December 2008, 11:3012:30
Classical and Quantum Transport in the Presence of Disorder
The talk would discuss some results, conjectures, and open problems concerning the spacings of eigenvalues for restrictions of onedimensional Schroedinger operators to large "boxes" (a.k.a. zeroes of orthogonal polynomials). These include results on "clock behavior" for decaying potentials, as well as for absolutely continuous spectrum of ergodic potentials.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:44:50+00:00
3164
521518
true
4x3
false
no

On meanfield theory of Anderson localisation
ucs_sms_113_26338
http://sms.cam.ac.uk/media/26338
On meanfield theory of Anderson localisation
Janis, V (Prague)
Wednesday 22 October 2008, 14:0015:00
Wed, 05 Nov 2008 10:58:47 +0000
Janis, V
Isaac Newton Institute
Janis, V
3916b1990a514fa9a2ff48b620be3f56
d7484fa0fa54a034ffe2137b3dd3207c
13dd337d413cd316cfd407d9906aadab
10418dc281efbbf489fb090674c2ef6c
Janis, V (Prague)
Wednesday 22 October 2008, 14:0015:00
Janis, V (Prague)
Wednesday 22 October 2008, 14:0015:00
Cambridge University
3785
http://sms.cam.ac.uk/media/26338
On meanfield theory of Anderson localisation
Janis, V (Prague)
Wednesday 22 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:44:40+00:00
3785
26338
true
4x3
false
no

On Random Matrices Related to Quantum Informatics
ucs_sms_113_1303710
http://sms.cam.ac.uk/media/1303710
On Random Matrices Related to Quantum Informatics
Pastur, L (National Academy of Sciences of Ukraine)
Monday 17 September 2012, 09:3010:10
Thu, 20 Sep 2012 16:04:08 +0100
Isaac Newton Institute
Pastur, L
efcb19adb23a02bd1ce01c75eeeaca72
89bd2e94b922cdddde419c1b602a83e3
daf514515fc5f29d1be95473749c3c42
Pastur, L (National Academy of Sciences of Ukraine)
Monday 17 September 2012,...
Pastur, L (National Academy of Sciences of Ukraine)
Monday 17 September 2012, 09:3010:10
Cambridge University
2457
http://sms.cam.ac.uk/media/1303710
On Random Matrices Related to Quantum Informatics
Pastur, L (National Academy of Sciences of Ukraine)
Monday 17 September 2012, 09:3010:10
We consider two ensembles of random matrices related to certain problems of quantum informatics. The rst ensemble is a generalization of the Wishart Ensemble viewed as the sum of independent rankone operators. However, in contrast to the Wishart Ensemble the corresponding independent random vectors are the tensor products of a xed number p 2 of other independent vectors. The second ensemble is also similar to the Wishart Ensemble viewed as the product of matrix with independent entries and the transposed (hermitian conjugate) matrix. However, in contrast to the Wishart Ensemble the corresponding matrix is triangular. We show that the limiting Normalized Counting Measures can be found from certain functional equations and discuss their new properties.
20120920T16:04:26+01:00
2457
1303710
true
16x9
false
no

On the localizationdelocalization critical line for the random copolymer
ucs_sms_113_1305420
http://sms.cam.ac.uk/media/1305420
On the localizationdelocalization critical line for the random copolymer
Bolthausen, E (Universität Zürich)
Monday 17 September 2012, 15:0015:40
Fri, 21 Sep 2012 09:08:57 +0100
Isaac Newton Institute
Bolthausen, E
8ed641c726a0aba07a8ed056f802920d
2b80469954edf6895047e01f59f8cb9d
bc5d0d7c3a0237c82aff77e036947da8
Bolthausen, E (Universität Zürich)
Monday 17 September 2012, 15:0015:40
Bolthausen, E (Universität Zürich)
Monday 17 September 2012, 15:0015:40
Cambridge University
2331
http://sms.cam.ac.uk/media/1305420
On the localizationdelocalization critical line for the random copolymer
Bolthausen, E (Universität Zürich)
Monday 17 September 2012, 15:0015:40
The random copolymer is a model for a long polymer chain at an interface of two liquids, say oil and water. The nodes of the polymer chain are either water repellent or oil repellent, placed in a random way or with random strengths. The model exhibits a phase transition between a localized phase and a delocalized phase. We present some new results on the phase separation line.
20120921T09:09:14+01:00
2331
1305420
true
16x9
false
no

On the Mott formula for the low frequency conductivity: a review
ucs_sms_113_1551
http://sms.cam.ac.uk/media/1551
On the Mott formula for the low frequency conductivity: a review
Pastur, L (Kharkov)
Friday 22 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 08:41:28 +0100
Pastur, L
Isaac Newton Institute
Pastur, L
4f317611f078f928815705d3bd8e7225
532e7f2274c7aa51e9b600b8e1ba0cb3
2c769276ddbba4d829ccb7fe34abf5e1
471ac1889457b0b56c1eed4b92e0bc55
Pastur, L (Kharkov)
Friday 22 August 2008, 09:0010:00
Anderson Localization...
Pastur, L (Kharkov)
Friday 22 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Cambridge University
3526
http://sms.cam.ac.uk/media/1551
On the Mott formula for the low frequency conductivity: a review
Pastur, L (Kharkov)
Friday 22 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
http://www.newton.ac.uk/programmes/MPA/seminars/082209001.html
20130228T13:44:16+00:00
3526
1551
true
4x3
false
no

On two problems for a random Schroedinger equation
ucs_sms_113_1529
http://sms.cam.ac.uk/media/1529
On two problems for a random Schroedinger equation
Khmelnitsky, D (Cambridge)
Thursday 04 September 2008, 14:0015:00
Fri, 19 Sep 2008 15:01:38 +0100
Khmelnitsky, D
Isaac Newton Institute
Khmelnitsky, D
824383a923fcb01e1824c59d859a240c
6ea05ced4325c23953d8b55f9ecec9d5
785ce151f2425709421909b7dde64118
e3212b7b7ebb1516bbb380b5bef302cb
Khmelnitsky, D (Cambridge)
Thursday 04 September 2008, 14:0015:00
Khmelnitsky, D (Cambridge)
Thursday 04 September 2008, 14:0015:00
Cambridge University
3755
http://sms.cam.ac.uk/media/1529
On two problems for a random Schroedinger equation
Khmelnitsky, D (Cambridge)
Thursday 04 September 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/090414001.html
20130228T13:44:06+00:00
3755
1529
true
4x3
false
no

Onedimensional Anderson Model: Devil's Staircase of Statistical Anomalies
ucs_sms_113_516489
http://sms.cam.ac.uk/media/516489
Onedimensional Anderson Model: Devil's Staircase of Statistical Anomalies
Kravstov, V (Trieste)
Tuesday 11 November 2008, 14:0015:00
Mon, 05 Jan 2009 15:54:27 +0000
Kravstov, V
Isaac Newton Institute
Kravstov, V
96e88e33b57c9f9940d1028f0f67cb46
1fd50fafc3d90458b2fb7ecb233d8ead
2d42ca0fea9075e873c3076660539d2d
e95f65a7c6fe5ad0ca57b2ba03e5e441
Kravstov, V (Trieste)
Tuesday 11 November 2008, 14:0015:00
Kravstov, V (Trieste)
Tuesday 11 November 2008, 14:0015:00
Cambridge University
3686
http://sms.cam.ac.uk/media/516489
Onedimensional Anderson Model: Devil's Staircase of Statistical Anomalies
Kravstov, V (Trieste)
Tuesday 11 November 2008, 14:0015:00
Prof. V. Kravstov's version of a talk made a week previously by V. Yudson (Russian Academy of Sciences) on Thursday 06 November 2008.
V.Yudson's Abstract follows:
We consider onedimensional Anderson model of localization on a lattice focusing attention at the probability distribution of the normalized random eigenfunctions. We derive the general formula for the joint probability distribution of the eigenfunction amplitude and phase in the bulk of a long chain in terms of the generation function which obeys the FokkerPlank like (transfermatrix) equation. This equation is shown to have anomalous terms at any energy that corresponds to the rational filling factor f (fraction of the states below this energy). At weak disorder the principle anomaly corresponds to f=1/2. The transfer matrix equation in this case is derived and exactly integrated. arXiv:0806.2118v1
Seminar from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:43:55+00:00
3686
516489
true
4x3
false
no

Poisson statistics for eigenvalues of continuum random schrodinger operators
ucs_sms_113_1538
http://sms.cam.ac.uk/media/1538
Poisson statistics for eigenvalues of continuum random schrodinger operators
Klein, A (UC, Irvine)
Tuesday 19 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 10:03:55 +0100
Klein, A
Isaac Newton Institute
Klein, A
f7ce2bff712714c3c2061613ce6b2691
19a693bd295d003619c48365ee127ad5
3af813c2356abbb82acb273ade781cc6
28cacc550a075d5867ce7c5211cb903d
Klein, A (UC, Irvine)
Tuesday 19 August 2008, 09:0010:00
Anderson...
Klein, A (UC, Irvine)
Tuesday 19 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
Cambridge University
2977
http://sms.cam.ac.uk/media/1538
Poisson statistics for eigenvalues of continuum random schrodinger operators
Klein, A (UC, Irvine)
Tuesday 19 August 2008, 09:0010:00
Anderson Localization and Related Phenomena
We prove Poisson statistics for eigenvalues of random Schrödinger operators in the continuum. More specifically, we prove a Minami estimate for continuum Anderson Hamiltonians in the continuum and derive Poisson statistics for the eigenvalues in the localization region at the bottom of the spectrum. We also prove simplicity of the eigenvalues in that region. (Joint work with J.M. Combes and F.Germinet).
http://www.newton.ac.uk/programmes/MPA/seminars/081909001.html
20130228T13:43:44+00:00
2977
1538
true
4x3
false
no

Progress in rigorous multiparticle localization: Simpler proofs of stronger results
ucs_sms_113_1315571
http://sms.cam.ac.uk/media/1315571
Progress in rigorous multiparticle localization: Simpler proofs of stronger results
Tchoulaevski, V (Université de Reims ChampagneArdenne)
Friday 21 September 2012, 15:0015:40
Tue, 25 Sep 2012 17:51:32 +0100
Isaac Newton Institute
Tchoulaevski, V
1e1804f5946c7ef4d3e141d36a57428f
0d755f9c63fabc4b288f084d8cbac7df
ed95548c09ad8ec0eebbfb43dac0e16f
Tchoulaevski, V (Université de Reims ChampagneArdenne)
Friday 21 September...
Tchoulaevski, V (Université de Reims ChampagneArdenne)
Friday 21 September 2012, 15:0015:40
Cambridge University
2519
http://sms.cam.ac.uk/media/1315571
Progress in rigorous multiparticle localization: Simpler proofs of stronger results
Tchoulaevski, V (Université de Reims ChampagneArdenne)
Friday 21 September 2012, 15:0015:40
20120925T17:51:49+01:00
2519
1315571
true
16x9
false
no

Quantum and classical localisation transitions
ucs_sms_113_1535
http://sms.cam.ac.uk/media/1535
Quantum and classical localisation transitions
Chalker, J (Oxford)
Tuesday 19 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 03:20:55 +0100
Chalker, J
Isaac Newton Institute
Chalker, J
cb259e75e0fe53d38a2db2bbfcd491de
f15692c74cf258e93ec1580380e41eb9
645ebb6537ea5026a284ba25aaba8bff
684b904cfdc4bfa87d76f94cfe7181b7
Chalker, J (Oxford)
Tuesday 19 August 2008, 10:0011:00
Anderson Localization...
Chalker, J (Oxford)
Tuesday 19 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Cambridge University
3368
http://sms.cam.ac.uk/media/1535
Quantum and classical localisation transitions
Chalker, J (Oxford)
Tuesday 19 August 2008, 10:0011:00
Anderson Localization and Related Phenomena
Localisation of a particle moving in a random environment may occur both quantum mechanically and with classical dynamics, but the phenomenon is very different in the two cases. I will discuss a class of quantummchanical localisation problems for which some physical quantities can be expressed exactly in terms of averages taken in a classical counterpart. The equivalence holds despite the fact that interference effects dominate the behaviour of the quantum systems. The models are network models belonging to class C in Zirnbauer's classification. The equivalence was first discovered in the context of the spin quantum Hall effect by Gruzberg, Ludwig and Read [Phys. Rev. Lett. 82, 4524 (1999)], and the results I will describe were obtained in collaboration with Beamond and Cardy [Phys Rev B 65, 214301 (2002) and with Ortuno and Somoza [in preparation].
http://www.newton.ac.uk/programmes/MPA/seminars/081910001.html
20130228T13:21:13+00:00
3368
1535
true
4x3
false
no

Quantum chaos on discrete graphs
ucs_sms_113_521279
http://sms.cam.ac.uk/media/521279
Quantum chaos on discrete graphs
Smilansky, U (Weizmann Institute)
Wednesday 17 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 15:33:30 +0000
Smilansky, U
Isaac Newton Institute
Smilansky, U
bbfb16da4c80a9a2d1c421dcea77bc78
f3b0a522026a4fd4f5416e747fa20be5
1547992d2c8e2988f8222bae1a50f855
71019b33db8b4ed7ae99136532b03df6
Smilansky, U (Weizmann Institute)
Wednesday 17 December 2008,...
Smilansky, U (Weizmann Institute)
Wednesday 17 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3544
http://sms.cam.ac.uk/media/521279
Quantum chaos on discrete graphs
Smilansky, U (Weizmann Institute)
Wednesday 17 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
The spectral statistics of the discrete Laplacian on random dregular graphs (in the limit of large graphs), will be discussed. It will be shown that in this limit some spectral statistics follow the predictions of Random Matrix Theory. Counting statistics of cycles on the graphs play an important role in the analysis. The level sets of eigenvectors will be shown to display a percollation transition which can be proved by assuming that eigenvectors distribute normally, with a covariance which can be computed using the special properties of the random ensemble of large dregular graphs.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:21:00+00:00
3544
521279
true
4x3
false
no

Quantum chaotic resonance eigenfunctions
ucs_sms_113_521156
http://sms.cam.ac.uk/media/521156
Quantum chaotic resonance eigenfunctions
Keating, J (Bristol)
Tuesday 16 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 11:06:35 +0000
Keating, J
Isaac Newton Institute
Keating, J
1927228c14e711429130bae411d21b1d
00b5ad31732082bff1e402acbff12809
27ae139fde68b6730370ae71c29caf13
5762beeada7344c8f61d85d17136c664
Keating, J (Bristol)
Tuesday 16 December 2008, 16:3017:30
Classical and...
Keating, J (Bristol)
Tuesday 16 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3529
http://sms.cam.ac.uk/media/521156
Quantum chaotic resonance eigenfunctions
Keating, J (Bristol)
Tuesday 16 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
I will review some recent results concerning the semiclassical structure of resonance eigenfunctions in chaotic scattering system.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:20:35+00:00
3529
521156
true
4x3
false
no

Quantum Hall transitions and conformal restriction
ucs_sms_113_1305398
http://sms.cam.ac.uk/media/1305398
Quantum Hall transitions and conformal restriction
Gruzberg, I (University of Chicago)
Monday 17 September 2012, 14:2015:00
Fri, 21 Sep 2012 08:59:57 +0100
Isaac Newton Institute
Gruzberg, I
806184b5d8201d530592986fb83ca78b
dd3ba465a48fc6386dce932111449945
4fc37ad7fbedd44f93e080fd13894206
Gruzberg, I (University of Chicago)
Monday 17 September 2012, 14:2015:00
Gruzberg, I (University of Chicago)
Monday 17 September 2012, 14:2015:00
Cambridge University
2658
http://sms.cam.ac.uk/media/1305398
Quantum Hall transitions and conformal restriction
Gruzberg, I (University of Chicago)
Monday 17 September 2012, 14:2015:00
A spectacular success in the study of random fractal clusters and their boundaries in critical statistical mechanics systems using SchrammLoewner Evolutions (SLE) naturally calls for extensions in various directions. Can this success be repeated for disordered and/or nonequilibrium systems? Naively, when one thinks about disordered systems and their average correlation functions one of the very basic assumptions of SLE, the so called domain Markov property, is lost. Also, in some lattice models of Anderson transitions (the network models) there are no natural clusters to consider. Nevertheless, in this talk I will argue that one can apply the so called conformal restriction, a notion of stochastic conformal geometry closely related to SLE, to study the integer quantum Hall transition and its variants. I will focus on the ChalkerCoddington network model and will demonstrate that its average transport properties can be mapped to a classical problem where the basic objects ar e geometric shapes (loosely speaking, the current paths) that obey an important restriction property. At the transition point this allows to use the theory of conformal restriction to derive exact expressions for mean point contact conductances in the presence of various nontrivial boundary conditions.
20120921T09:00:14+01:00
2658
1305398
true
16x9
false
no

Quantum vs. classical localization of excited manyparticle states
ucs_sms_113_1550
http://sms.cam.ac.uk/media/1550
Quantum vs. classical localization of excited manyparticle states
Oganesyan, V (Yale)
Friday 22 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 07:14:59 +0100
Oganesyan, V
Isaac Newton Institute
Oganesyan, V
20cb87b32582e30a179e2cd96f1a7a7c
f576540d18329ae96cd07f8d0c1ef189
c5cc10f5ac7089a68e472f71f6267553
fde71cfd3e253232e2204a5e1f736865
Oganesyan, V (Yale)
Friday 22 August 2008, 14:0015:00
Anderson Localization...
Oganesyan, V (Yale)
Friday 22 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
Cambridge University
4034
http://sms.cam.ac.uk/media/1550
Quantum vs. classical localization of excited manyparticle states
Oganesyan, V (Yale)
Friday 22 August 2008, 14:0015:00
Anderson Localization and Related Phenomena
I shall discusss some recent ideas and numerical studies of localization of interacting particles with a finite energy per particle.
http://www.newton.ac.uk/programmes/MPA/seminars/082214001.html
20130228T13:20:19+00:00
4034
1550
true
4x3
false
no

QuasiDiffusion in a 3D SUSY Hyperbolic Sigma Model
ucs_sms_113_520325
http://sms.cam.ac.uk/media/520325
QuasiDiffusion in a 3D SUSY Hyperbolic Sigma Model
Spencer, T (Princeton)
Monday 15 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 08:33:44 +0000
Spencer, T
Isaac Newton Institute
Spencer, T
e1d463ee161f151e8efdc49d82cce918
b27808a154384bbd10fce44197143c2f
fa2d6a353f17703b37e4605235ef522e
0d571dc0f9e9a849c9ed4ab9e281d792
Spencer, T (Princeton)
Monday 15 December 2008, 10:0011:00
Classical and...
Spencer, T (Princeton)
Monday 15 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3700
http://sms.cam.ac.uk/media/520325
QuasiDiffusion in a 3D SUSY Hyperbolic Sigma Model
Spencer, T (Princeton)
Monday 15 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
We analyze a SUSY lattice field model which qualitatively reflects Anderson localization and delocalization. Correlations in this model may be described in terms of a random walk in a highly correlated random environment. We prove this model exhibits a "diffusive" phase in 3 or more dimensions. This is joint work with M. Disertori and M. Zirnbauer.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:19:42+00:00
3700
520325
true
4x3
false
no

Quasimodes of Seba billiards
ucs_sms_113_1172
http://sms.cam.ac.uk/media/1172
Quasimodes of Seba billiards
Winn, B (Loughborough)
Tuesday 15 July 2008, 16:0016:45
Fri, 18 Jul 2008 12:52:43 +0100
Winn, B
Isaac Newton Institute
Winn, B
f858c088022bf8902c61368f9773fa72
d38fce8bfb3bcdef4f3388d88638a717
2b650e5f0d5f36dfffaf6fa8ffe616ae
23287ba4e2705bc63827df5387cda44f
Winn, B (Loughborough)
Tuesday 15 July 2008, 16:0016:45
Winn, B (Loughborough)
Tuesday 15 July 2008, 16:0016:45
Cambridge University
2874
http://sms.cam.ac.uk/media/1172
Quasimodes of Seba billiards
Winn, B (Loughborough)
Tuesday 15 July 2008, 16:0016:45
We construct quasimodes for the Seba billiard and related systems. The Seba billiard is a rectangle billiard with a deltafunction potential. By making further assumptions on the spectrum of the rectangle billiard, we are able to prove that the quasimodes, in fact, approximate a sequence of true eigenmodes. The additional hypothesis required is related to the BerryTabor conjecture for energy levels of integrable quantum systems.
20130228T13:19:29+00:00
2874
1172
true
4x3
false
no

Random walks in quasi 1D random environments
ucs_sms_113_516752
http://sms.cam.ac.uk/media/516752
Random walks in quasi 1D random environments
Goldsheid, I (QMUL)
Thursday 04 December 2008, 14:0015:00
Tue, 06 Jan 2009 16:44:14 +0000
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
2e56a82082ba2972485f627127b517b3
d17e189b1ef6ecccf70530bce7ee4b4c
0b3c220ca92a9776afc4a0d35b56b620
9ff3e43650a8e89bafa1bae55794b079
Goldsheid, I (QMUL)
Thursday 04 December 2008, 14:0015:00
Goldsheid, I (QMUL)
Thursday 04 December 2008, 14:0015:00
Cambridge University
3463
http://sms.cam.ac.uk/media/516752
Random walks in quasi 1D random environments
Goldsheid, I (QMUL)
Thursday 04 December 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:19:17+00:00
3463
516752
true
4x3
false
no

Rare events and phase transitions in reactiondiffusion systems
ucs_sms_113_521324
http://sms.cam.ac.uk/media/521324
Rare events and phase transitions in reactiondiffusion systems
Kamenev, A (Minnesota)
Wednesday 17 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 16:16:17 +0000
Kamenev, A
Isaac Newton Institute
Kamenev, A
89ae81f1a0fc7ad820e820e20b37d625
b5bd88aaf43e8a84d9c0e23b94e1ec9c
851ad068f5192434f02bb842945b620b
eaba21691ef0dabc734afae1d1602496
Kamenev, A (Minnesota)
Wednesday 17 December 2008, 15:3016:30
Classical and...
Kamenev, A (Minnesota)
Wednesday 17 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3050
http://sms.cam.ac.uk/media/521324
Rare events and phase transitions in reactiondiffusion systems
Kamenev, A (Minnesota)
Wednesday 17 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
I shall discuss a way to evaluate tails of the probability distribution functions in stochastic reactiondiffusion systems. The method is based on the semiclassical treatment of a proper ``quantum'' field theory, which may be associated with the reactiondiffusion models. The same set of ideas may be applied to a classification of nonequilibrium phase transitions, taking place in these models.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:18:05+00:00
3050
521324
true
4x3
false
no

Recent progress in the spectral theory of first order elliptic systems
ucs_sms_113_1305745
http://sms.cam.ac.uk/media/1305745
Recent progress in the spectral theory of first order elliptic systems
Vassiliev, D (University College London)
Tuesday 18 September 2012, 10:1010:50
Fri, 21 Sep 2012 16:08:05 +0100
Isaac Newton Institute
Vassiliev, D
0e2ecacf6be5e0f1d4de6636cf41bda5
e31b54aef29e7cf5117ad68f173444f9
2935173148721d4399c21b6d445f3b76
Vassiliev, D (University College London)
Tuesday 18 September 2012, 10:1010:50
Vassiliev, D (University College London)
Tuesday 18 September 2012, 10:1010:50
Cambridge University
2459
http://sms.cam.ac.uk/media/1305745
Recent progress in the spectral theory of first order elliptic systems
Vassiliev, D (University College London)
Tuesday 18 September 2012, 10:1010:50
The talk deals with the distribution of eigenvalues of a linear selfadjoint elliptic operator. The eigenvalue problem is considered in the deterministic setting, i.e. the coefficients of the operator are prescribed smooth functions. The objective is to derive a twoterm asymptotic formula for the counting function (number of eigenvalues between zero and a positive lambda) as lambda tends to plus infinity.
There is an extensive literature on the subject (see, for example, [1]), mostly dealing with scalar operators. It has always been taken for granted that all results extend in a straightforward manner to systems. However, the author has recently discovered [2,3] that all previous publications on first order systems give formulae for the second asymptotic coefficient that are either incorrect or incomplete (i.e. an algorithm for the calculation of the second asymptotic coefficient rather than an explicit formula). The aim of the talk is to explain the spectral theoretic difference between scalar operators and systems and to present the correct formula for the second asymptotic coefficient.
[1] Yu.Safarov and D.Vassiliev, The asymptotic distribution of eigenvalues of partial differential operators, American Mathematical Society, 1997 (hardcover), 1998 (softcover).
[2] Preprint arXiv:1204.6567.
[3] Preprint arXiv:1208.6015.
20120921T16:08:22+01:00
2459
1305745
true
16x9
false
no

Resonances for large ergodic systems
ucs_sms_113_521126
http://sms.cam.ac.uk/media/521126
Resonances for large ergodic systems
Klopp, F (Université Paris 13 Nord)
Tuesday 16 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 10:03:01 +0000
Klopp, F
Isaac Newton Institute
Klopp, F
1e0b36162a4c826f2f92f847791f2600
1003b13af3abb48b92fdcb90fdf097af
e08ad466a6ee1a61cadb584f22f01004
be2c398a30910d44c0ff9a3c5560f9cf
Klopp, F (Université Paris 13 Nord)
Tuesday 16 December 2008,...
Klopp, F (Université Paris 13 Nord)
Tuesday 16 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3554
http://sms.cam.ac.uk/media/521126
Resonances for large ergodic systems
Klopp, F (Université Paris 13 Nord)
Tuesday 16 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
In this talk, we consider Schrödinger operators where the potential is the restriction of an ergodic potential to a large cube. We study the resonances i.e. the poles of the scattering matrix of this operator in the limit when the size of the cube goes to infinity. Depending on the characteristics of the limit ergodic Schrödinger operator, the resonances, in particular, the resonances widths, exhibit very different behaviors. We will concentrate on the case of the dimension one and on two types of ergodic potentials, a periodic one and an homogeneous random one. The work presented is still in progress.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:17:51+00:00
3554
521126
true
4x3
false
no

Rigorous techniques for 1D systems (1)
ucs_sms_113_1177
http://sms.cam.ac.uk/media/1177
Rigorous techniques for 1D systems (1)
Goldsheid, I (Queen Mary, London)
Wednesday 16 July 2008, 14:0015:30
Mon, 21 Jul 2008 09:52:22 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
39a221e4bed84ab9f71f5157a291639b
fe3a3cff375defdc037397c34aba90b5
8b8effd07dcb76fa02f23b8004533090
ba46b0d88c5752a0c7ad3b0d35e9a718
Goldsheid, I (Queen Mary, London)
Wednesday 16 July 2008, 14:0015:30
Goldsheid, I (Queen Mary, London)
Wednesday 16 July 2008, 14:0015:30
Cambridge University
5665
http://sms.cam.ac.uk/media/1177
Rigorous techniques for 1D systems (1)
Goldsheid, I (Queen Mary, London)
Wednesday 16 July 2008, 14:0015:30
Measure spaces, measure preserving transformations, ergodic transformations, Birkhoff's ergodic theorem, Kingman's subadditive ergodic theorem. Examples. Products of matrices and Lyapunov exponents: elementary properties. Stationary sequences of random matrices. Products of stationary random matrices: examples. Lyapunov exponents of products of stationary sequences of matrices; the Oseledets's multiplicative ergodic theorem (MOT). The idea of the proof of the MOT; the MOT for products of 2x2 matrices.
20130228T13:48:11+00:00
5665
1177
true
4x3
false
no

Rigorous techniques for 1D systems (2)
ucs_sms_113_1185
http://sms.cam.ac.uk/media/1185
Rigorous techniques for 1D systems (2)
Goldsheid, I (Queen Mary, London)
Friday 18 July 2008, 14:0015:30
Fri, 25 Jul 2008 06:47:41 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
bbe3a9bb0b6d2b75f1101c666c9aacb5
74308d3e2fd4df43b655e5ab01b57847
277a733992a0f47282d573e610b49582
b0759acaeee032987c4f0636a99200c7
Goldsheid, I (Queen Mary, London)
Friday 18 July 2008, 14:0015:30
Goldsheid, I (Queen Mary, London)
Friday 18 July 2008, 14:0015:30
Cambridge University
5441
http://sms.cam.ac.uk/media/1185
Rigorous techniques for 1D systems (2)
Goldsheid, I (Queen Mary, London)
Friday 18 July 2008, 14:0015:30
Furstenberg's theorem about the positivity of the top Lyapunov exponent. The general theorem about the existence of distinct Lyapunov exponents. The Anderson model on a strip and products of symplectic matrices. Lyapunov exponents of products of symplectic matrices. One elementary application: randomness of the eigenvalues of a 1D and quasi1D Anderson model.
20130228T13:48:02+00:00
5441
1185
true
4x3
false
no

Rigorous techniques for 1D systems (3)
ucs_sms_113_1207
http://sms.cam.ac.uk/media/1207
Rigorous techniques for 1D systems (3)
Goldsheid, I (Queen Mary, London)
Monday 21 July 2008, 14:0015:30
Thu, 31 Jul 2008 07:23:06 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
2ae6cfc09969af578f944252fa843a4b
cd82cef38b1bd2f293a3f30328a2c822
8af06ffc2c8e4cea3e2a7a87ca179d6d
76d22c089a6c8c7dd28aa2a0403602ff
Goldsheid, I (Queen Mary, London)
Monday 21 July 2008, 14:0015:30
Goldsheid, I (Queen Mary, London)
Monday 21 July 2008, 14:0015:30
Cambridge University
5301
http://sms.cam.ac.uk/media/1207
Rigorous techniques for 1D systems (3)
Goldsheid, I (Queen Mary, London)
Monday 21 July 2008, 14:0015:30
The integrated density of states for the Anderson model on a strip and its regularity properties. Criteria for localization. Proof of localization for the Anderson model on a strip.
20130228T13:47:52+00:00
5301
1207
true
4x3
false
no

Rigorous techniques for 1D systems (4)
ucs_sms_113_1265
http://sms.cam.ac.uk/media/1265
Rigorous techniques for 1D systems (4)
Goldsheid, I (Queen Mary, London)
Wednesday 23 July 2008, 14:0015:30
Thu, 07 Aug 2008 14:38:43 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
55bcf46c653de4ac828108bdd6e8425c
b63528544006184f6d6fee8c456e01b1
9b88c5b8cdaab37a2d1d2ecc5b738910
94a76f44f50e0ffb9d75e3b19c8e40d5
Goldsheid, I (Queen Mary, London)
Wednesday 23 July 2008, 14:0015:30
Goldsheid, I (Queen Mary, London)
Wednesday 23 July 2008, 14:0015:30
Cambridge University
5923
http://sms.cam.ac.uk/media/1265
Rigorous techniques for 1D systems (4)
Goldsheid, I (Queen Mary, London)
Wednesday 23 July 2008, 14:0015:30
The Kotani theory. Stability and instability of localization.
20130228T13:47:42+00:00
5923
1265
true
4x3
false
no

Rigorous techniques for 1D systems (5)
ucs_sms_113_1338
http://sms.cam.ac.uk/media/1338
Rigorous techniques for 1D systems (5)
Goldsheid, I (Queen Mary, London)
Friday 25 July 2008, 11:0012:30
Thu, 21 Aug 2008 06:38:42 +0100
Goldsheid, I
Isaac Newton Institute
Goldsheid, I
cd737b8aee86522a20d482723d612924
136e02a8451e2d85a011f91b6fc3b0ea
698c726860ce5be7cf35ed704eea5d60
61c0092598ff81fe751883f6b6f95585
Goldsheid, I (Queen Mary, London)
Friday 25 July 2008, 11:0012:30
Goldsheid, I (Queen Mary, London)
Friday 25 July 2008, 11:0012:30
Cambridge University
5290
http://sms.cam.ac.uk/media/1338
Rigorous techniques for 1D systems (5)
Goldsheid, I (Queen Mary, London)
Friday 25 July 2008, 11:0012:30
Other 1D models. Onedimensional random Schroedinger operators with decaying potentials. Stationary nonhermitian Anderson model: properties of the eigenvalues and eigenfunctions.
20130228T13:47:30+00:00
5290
1338
true
4x3
false
no

Simple proofs of simple facts in localization theory
ucs_sms_113_521187
http://sms.cam.ac.uk/media/521187
Simple proofs of simple facts in localization theory
Tchulaevsky, V (Université de Reims ChampagneArdenne)
Wednesday 17 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 12:56:29 +0000
Tchulaevsky, V
Isaac Newton Institute
Tchulaevsky, V
26adcdf1e6b7b3266c49eef01f8973a7
b2b4849dda44c7a58b09e691fa3dac9e
23d2c77a5ed73a022dd2e68ea80349c5
73f8b6ec546fba53c2ac917c8621b9c9
Tchulaevsky, V (Université de Reims ChampagneArdenne)
Wednesday 17 December...
Tchulaevsky, V (Université de Reims ChampagneArdenne)
Wednesday 17 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3266
http://sms.cam.ac.uk/media/521187
Simple proofs of simple facts in localization theory
Tchulaevsky, V (Université de Reims ChampagneArdenne)
Wednesday 17 December 2008, 09:0010:00
Classical and Quantum Transport in the Presence of Disorder
We give an introduction to the MultiParticle MultiScale Analysis, based on simple geometrical ideas and simple proofs.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:47:20+00:00
3266
521187
true
4x3
false
no

Spectral bounds for nonselfadjoint Anderson models
ucs_sms_113_1536
http://sms.cam.ac.uk/media/1536
Spectral bounds for nonselfadjoint Anderson models
Davies, B (King's College London)
Tuesday 19 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Sat, 20 Sep 2008 06:19:37 +0100
Davies, B
Isaac Newton Institute
Davies, B
7bd38d87d593e983dd0fb4f6dd5af6cd
5e3975f7b571badfc6c3e8ef0ecf412c
f8d9ed92c94272c76459c256853c819e
5f17bf020f68db848e59e8ba932592db
Davies, B (King's College London)
Tuesday 19 August 2008,...
Davies, B (King's College London)
Tuesday 19 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
Cambridge University
3559
http://sms.cam.ac.uk/media/1536
Spectral bounds for nonselfadjoint Anderson models
Davies, B (King's College London)
Tuesday 19 August 2008, 11:3012:30
Anderson Localization and Related Phenomena
This is a review of recent work by E B Davies, C Martinez and J Hinchcliffe on the spectral properties of some nonselfadjoint operators acting in Z^d. The operators include the onedimensional NSA Anderson model of Hatano and Nelson.
http://www.newton.ac.uk/programmes/MPA/seminars/081911301.html
20130228T13:47:11+00:00
3559
1536
true
4x3
false
no

Spectral properties of some Hamiltonians modeling superconductors
ucs_sms_113_521095
http://sms.cam.ac.uk/media/521095
Spectral properties of some Hamiltonians modeling superconductors
Kirsch, W (FernUniversität Hagen)
Tuesday 16 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Wed, 21 Jan 2009 09:02:24 +0000
Kirsch, W
Isaac Newton Institute
Kirsch, W
029aded06603f76ba0389c00e5154d7a
e6add48435cff1cf0334c7de284f6f58
33ee8c81c368115e32db38820219a941
d6571c8b50580e33142e732a2f2f9844
Kirsch, W (FernUniversität Hagen)
Tuesday 16 December 2008,...
Kirsch, W (FernUniversität Hagen)
Tuesday 16 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
2938
http://sms.cam.ac.uk/media/521095
Spectral properties of some Hamiltonians modeling superconductors
Kirsch, W (FernUniversität Hagen)
Tuesday 16 December 2008, 14:0015:00
Classical and Quantum Transport in the Presence of Disorder
We discuss the spectral theory of some Hamiltonians which arise in the theory of superconductors. These operators are given by operator valued twobytwo matrices which describe the evolution of both electrons and holes as well as the interaction between them. We investigate the behavior of the density of states of such operators as well as localization properties. This is joint work with Bernd Metzger and Peter Muller.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:47:01+00:00
2938
521095
true
4x3
false
no

Spreading in potentials random in space and time
ucs_sms_113_1315495
http://sms.cam.ac.uk/media/1315495
Spreading in potentials random in space and time
Fishman, S (Technion  Israel Institute of Technology)
Friday 21 September 2012, 14:2015:00
Tue, 25 Sep 2012 16:09:13 +0100
Isaac Newton Institute
Fishman, S
fcb29a28ee10aae286dbe223f985f330
641531bad0d243050aa4f2c443e43887
7e4b474c1ce57e5e3ea0756c40869b60
Fishman, S (Technion  Israel Institute of Technology)
Friday 21 September...
Fishman, S (Technion  Israel Institute of Technology)
Friday 21 September 2012, 14:2015:00
Cambridge University
2407
http://sms.cam.ac.uk/media/1315495
Spreading in potentials random in space and time
Fishman, S (Technion  Israel Institute of Technology)
Friday 21 September 2012, 14:2015:00
For time independent random potentials Anderson localization may take place. For time dependent potentials, Anderson localization is destroyed and hypertransport, namely transport faster than ballistic, may take place. The spreading for time dependent random ppotentials is classified into universality classes characterized by the dependence of the diffusion coefficient on velocity, in the limit of high velocity. The most interesting behavior is found in one dimension. The work was motivated by experiments in optics and in atom optics.
20120925T16:09:31+01:00
2407
1315495
true
16x9
false
no

Statistical mechanics approach to the random matrix models
ucs_sms_113_1315303
http://sms.cam.ac.uk/media/1315303
Statistical mechanics approach to the random matrix models
Shcherbina, M (Institute for Low Temperatures, Kharkov)
Friday 21 September 2012, 09:3010:10
Tue, 25 Sep 2012 13:46:32 +0100
Isaac Newton Institute
Shcherbina, M
adb0fc845fd1fe7cb2201211059fd224
1912e2aaea3b61bdd8f7a80a9a49e102
7a12e5220d34d9ed64092999a57a9ecb
Shcherbina, M (Institute for Low Temperatures, Kharkov)
Friday 21 September...
Shcherbina, M (Institute for Low Temperatures, Kharkov)
Friday 21 September 2012, 09:3010:10
Cambridge University
2601
http://sms.cam.ac.uk/media/1315303
Statistical mechanics approach to the random matrix models
Shcherbina, M (Institute for Low Temperatures, Kharkov)
Friday 21 September 2012, 09:3010:10
We consider hermitian, real symmetric and symplectic matrix models with real analytic potentials and present some analogue of the meanfield approximation method to study their partition functions in the multicut regime. Then we discuss recent results on the asymptotic behavior of the characteristic functional of linear eigenvalue statistics, obtained by this method, in particular, non gaussian behavior of the characteristic functional in the multicut regime. The applications to the proof of the universality conjecture for real symmetric and symplectic matrix models will be also discussed.
20120925T13:46:50+01:00
2601
1315303
true
16x9
false
no

Statistical mechanics of phase transitions (1)
ucs_sms_113_1170
http://sms.cam.ac.uk/media/1170
Statistical mechanics of phase transitions (1)
Brydges, D (Vancouver)
Tuesday 15 July 2008, 11:0012:30
Thu, 17 Jul 2008 12:56:27 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
1a212af6841be571348b04d1169b43c6
a1fdb1cc7f2c3e26ce8f55872e5a2e2d
dc767b498bb6299ebba1eb6d3352761e
60310b2e950f78eaaac8cee12e5ad1e2
Brydges, D (Vancouver)
Tuesday 15 July 2008, 11:0012:30
Brydges, D (Vancouver)
Tuesday 15 July 2008, 11:0012:30
Cambridge University
5181
http://sms.cam.ac.uk/media/1170
Statistical mechanics of phase transitions (1)
Brydges, D (Vancouver)
Tuesday 15 July 2008, 11:0012:30
Gaussian measures on a lattice. Main examples: massive and massless Gaussian, Ising model equals perturbation of massless Gaussian by Stratonovich transformation. Wick theorem and Feynman diagrams. Normal ordering = orthogonal functions = hermite polynomials.
http://www.newton.ac.uk/programmes/MPA/seminars/071511001.html
20130228T13:46:39+00:00
5181
1170
true
4x3
false
no

Statistical mechanics of phase transitions (2)
ucs_sms_113_1179
http://sms.cam.ac.uk/media/1179
Statistical mechanics of phase transitions (2)
Brydges, D (Vancouver)
Thursday 17 July 2008, 09:0010:30
Tue, 22 Jul 2008 10:00:00 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
5b354c04debec2168c1ffd2da48ae285
78d52727728456620d0408e4019bf493
3cc29ee162c8695b405dd6e6dfac9861
04208ac43a213a1e70afcbda747aa627
Brydges, D (Vancouver)
Thursday 17 July 2008, 09:0010:30
Brydges, D (Vancouver)
Thursday 17 July 2008, 09:0010:30
Cambridge University
5269
http://sms.cam.ac.uk/media/1179
Statistical mechanics of phase transitions (2)
Brydges, D (Vancouver)
Thursday 17 July 2008, 09:0010:30
Example: the generating function for an ensemble of selfavoiding loops equals a Gaussian integral. Grassmann integration versus differential forms. Examples (in order of whether I have time for them): 1. Selfavoiding walk as a Gaussian integral, 2. Matrix tree theorems. Supersymmetry in terms of forms (if I have time).
20130228T13:46:26+00:00
5269
1179
true
4x3
false
no

Statistical mechanics of phase transitions (3)
ucs_sms_113_1184
http://sms.cam.ac.uk/media/1184
Statistical mechanics of phase transitions (3)
Brydges, D (Vancouver)
Friday 18 July 2008, 11:0012:30
Thu, 24 Jul 2008 07:03:51 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
72fbe01e844d949f81da62e85ee48a19
fda92372a1841361bb98791e2db0d28d
3e200b97c4832b3ed3a0ec33fd3acd17
4394c6adb5b1734617f56c12055f74c2
Brydges, D (Vancouver)
Friday 18 July 2008, 11:0012:30
Brydges, D (Vancouver)
Friday 18 July 2008, 11:0012:30
Cambridge University
5512
http://sms.cam.ac.uk/media/1184
Statistical mechanics of phase transitions (3)
Brydges, D (Vancouver)
Friday 18 July 2008, 11:0012:30
Ideas of scaling.The Hierarchical Gaussian field. Renormalisation group and critical mass illustrated for the phi^4 lattice model within hierarchical approximation. Comments on RG for Euclidean models.
20130228T13:46:14+00:00
5512
1184
true
4x3
false
no

Statistical mechanics of phase transitions (4)
ucs_sms_113_1204
http://sms.cam.ac.uk/media/1204
Statistical mechanics of phase transitions (4)
Brydges, D (Vancouver)
Monday 21 July 2008, 09:0010:30
Wed, 30 Jul 2008 08:38:15 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
675131b257a52818016ddec2b959e30b
f44133a8a6cc1860726051419a3eb20f
9d691f7b3ba4cb0ab5638db03d54b98a
03f6b226cbf2186fc9deb84a16655748
Brydges, D (Vancouver)
Monday 21 July 2008, 09:0010:30
Brydges, D (Vancouver)
Monday 21 July 2008, 09:0010:30
Cambridge University
5779
http://sms.cam.ac.uk/media/1204
Statistical mechanics of phase transitions (4)
Brydges, D (Vancouver)
Monday 21 July 2008, 09:0010:30
The Ising Model. CurieWeiss Mean field theory by steepest descent. Mean field theory as Kac limit. Mean field lower bound on pressure by Jensen.
http://www.newton.ac.uk/programmes/MPA/seminars/072109001.html
20130228T13:46:04+00:00
5779
1204
true
4x3
false
no

Statistical mechanics of phase transitions (5)
ucs_sms_113_1209
http://sms.cam.ac.uk/media/1209
Statistical mechanics of phase transitions (5)
Brydges, D (Vancouver)
Tuesday 22 July 2008, 09:0010:30
Thu, 31 Jul 2008 14:14:05 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
490092617d156f6b98962492a70d425d
6b8e98c292e758e3c8119b46cf707230
3817a138ed240ed1a3a50dffd6db91aa
6fc838d0974ac7892168c29b3d195773
Brydges, D (Vancouver)
Tuesday 22 July 2008, 09:0010:30
Brydges, D (Vancouver)
Tuesday 22 July 2008, 09:0010:30
Cambridge University
5518
http://sms.cam.ac.uk/media/1209
Statistical mechanics of phase transitions (5)
Brydges, D (Vancouver)
Tuesday 22 July 2008, 09:0010:30
Breaking of continuous symmetries and the massless Gaussian Comment on Infrared bounds and transfer matrix Example of breaking of symmetry in superintegrals Local time = square of Gaussian superfield. Luttinger's view of DonskerVaradhan theory.
http://www.newton.ac.uk/programmes/MPA/seminars/072209001.html
20130228T13:45:53+00:00
5518
1209
true
4x3
false
no

Statistical mechanics of phase transitions (6)
ucs_sms_113_1210
http://sms.cam.ac.uk/media/1210
Statistical mechanics of phase transitions (6)
Brydges, D (Vancouver)
Tuesday 22 July 2008, 16:0016:45
Fri, 01 Aug 2008 10:12:27 +0100
Brydges, D
Isaac Newton Institute
Brydges, D
18342d8f84696febdecb8d545112c560
468fe76359af707e3f1d836160cf41a6
35dbad5438caa170a8271c70cb8f9234
558d2198c96ebad3ba09ec79ec81a0dd
Brydges, D (Vancouver)
Tuesday 22 July 2008, 16:0016:45
Brydges, D (Vancouver)
Tuesday 22 July 2008, 16:0016:45
Cambridge University
1154
http://sms.cam.ac.uk/media/1210
Statistical mechanics of phase transitions (6)
Brydges, D (Vancouver)
Tuesday 22 July 2008, 16:0016:45
http://www.newton.ac.uk/programmes/MPA/seminars/072216001.html
20130228T13:45:42+00:00
1154
1210
true
4x3
false
no

Statistics of Eigenvalues for 1d random systems
ucs_sms_113_1340
http://sms.cam.ac.uk/media/1340
Statistics of Eigenvalues for 1d random systems
Molchanov, S (North Carolina)
Thursday 31 July 2008, 14:0015:00
Thu, 21 Aug 2008 14:18:00 +0100
Molchanov, S
Isaac Newton Institute
Molchanov, S
c0098baf83c0cabe4f4c028932b1eaf4
33fc86efbe0e17a8e65000e758e13ce7
208dd828c53f29621167bbae505396be
ecd9a3ea84fbe0209810d77d5cd1a9ba
Molchanov, S (North Carolina)
Thursday 31 July 2008, 14:0015:00
Molchanov, S (North Carolina)
Thursday 31 July 2008, 14:0015:00
Cambridge University
3840
http://sms.cam.ac.uk/media/1340
Statistics of Eigenvalues for 1d random systems
Molchanov, S (North Carolina)
Thursday 31 July 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/073114001.html
20130228T13:45:31+00:00
3840
1340
true
4x3
false
no

Statistics of resonances in a disordered chain
ucs_sms_113_1524
http://sms.cam.ac.uk/media/1524
Statistics of resonances in a disordered chain
Kunz, H (EPFL)
Wednesday 27 August 2008, 14:0015:00
Fri, 19 Sep 2008 11:13:44 +0100
Kunz, H
Isaac Newton Institute
Kunz, H
cfb3c89fac8b10aa17df75a517047bbe
1bbaca5994d2aaadcd5ba6f7d817dc8d
49f50b3516413f936e5666c8c8163de6
2509aab84d6d15c322641152fa406650
Kunz, H (EPFL)
Wednesday 27 August 2008, 14:0015:00
Kunz, H (EPFL)
Wednesday 27 August 2008, 14:0015:00
Cambridge University
3785
http://sms.cam.ac.uk/media/1524
Statistics of resonances in a disordered chain
Kunz, H (EPFL)
Wednesday 27 August 2008, 14:0015:00
http://www.newton.ac.uk/programmes/MPA/seminars/082714001.html
20130228T13:45:19+00:00
3785
1524
true
4x3
false
no

Strong interaction in diffusive random lasers
ucs_sms_113_516613
http://sms.cam.ac.uk/media/516613
Strong interaction in diffusive random lasers
Tureci, H (ETH, Zurich)
Tuesday 02 December 2008, 14:0015:00
Tue, 06 Jan 2009 11:33:34 +0000
Tureci, H
Isaac Newton Institute
Tureci, H
029aae92f2f466a66e4f893150704c97
61431ba40e9fbf0218943c227886ba38
39155cbcd380be4100ae9a107f86ed1a
8c2dab92a1e6d89c35127a2fd91a788f
Tureci, H (ETH, Zurich)
Tuesday 02 December 2008, 14:0015:00
Tureci, H (ETH, Zurich)
Tuesday 02 December 2008, 14:0015:00
Cambridge University
3265
http://sms.cam.ac.uk/media/516613
Strong interaction in diffusive random lasers
Tureci, H (ETH, Zurich)
Tuesday 02 December 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:45:08+00:00
3265
516613
true
4x3
false
no

Supersymmetry in localization/delocalization problems
ucs_sms_113_1313860
http://sms.cam.ac.uk/media/1313860
Supersymmetry in localization/delocalization problems
Disertori, M (Université de Rouen)
Wednesday 19 September 2012, 15:0015:40
Mon, 24 Sep 2012 10:17:44 +0100
Isaac Newton Institute
Disertori, M
30a176ec58ee175ac166fcabc96d987f
1425bd2e3267d3ed4b2e5a4232211500
0c33484d490a40fc21165925e02ddc16
Disertori, M (Université de Rouen)
Wednesday 19 September 2012, 15:0015:40
Disertori, M (Université de Rouen)
Wednesday 19 September 2012, 15:0015:40
Cambridge University
2574
http://sms.cam.ac.uk/media/1313860
Supersymmetry in localization/delocalization problems
Disertori, M (Université de Rouen)
Wednesday 19 September 2012, 15:0015:40
Supersymmetric approach has proved to be a powerful tool in the analysis of models for quantum (but also classical) diffusion. I'll give an overview of the technique with some applications, known results and a few conjectures.
20120924T10:18:01+01:00
2574
1313860
true
16x9
false
no

The 'magic formula' for linearly edgereinforced random walks
ucs_sms_113_520985
http://sms.cam.ac.uk/media/520985
The 'magic formula' for linearly edgereinforced random walks
Merkl, F (LudwigMaximiliansUniversität München)
Tuesday 16 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 17:03:26 +0000
Merkl, F
Isaac Newton Institute
Merkl, F
1bd511479c0a05935c046de5eae8afb3
d0a7ccbecbad9623d2a4dcc632bf9250
74d0a1720549d854c330e30cd120feb1
e98012fb1dd212c407be715635436f6e
Merkl, F (LudwigMaximiliansUniversität München)
Tuesday 16 December 2008,...
Merkl, F (LudwigMaximiliansUniversität München)
Tuesday 16 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
2804
http://sms.cam.ac.uk/media/520985
The 'magic formula' for linearly edgereinforced random walks
Merkl, F (LudwigMaximiliansUniversität München)
Tuesday 16 December 2008, 10:0011:00
Classical and Quantum Transport in the Presence of Disorder
Linearly edgereinforced random walk on a finite graph is a mixture of reversible Markov chains with an explicitly known mixing measure. We give a new proof of this fact. (Joint work with Silke Rolles).
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:49:33+00:00
2804
520985
true
4x3
false
no

The historical origins of localisation
ucs_sms_113_1202
http://sms.cam.ac.uk/media/1202
The historical origins of localisation
Anderson, PW (Princeton)
Monday 21 July 2008, 17:0018:00
Tue, 29 Jul 2008 07:32:31 +0100
Anderson, PW
Isaac Newton Institute
Anderson, PW
52be26c4c6374ab5c0aa43a42c8fe9e6
52c90ec51bb174576dfa23812effb472
763e3deb09d11a3c12deae38c7982888
b9a13a43852acae4a33bb31fdddd5813
Anderson, PW (Princeton)
Monday 21 July 2008, 17:0018:00
Anderson, PW (Princeton)
Monday 21 July 2008, 17:0018:00
Cambridge University
3075
http://sms.cam.ac.uk/media/1202
The historical origins of localisation
Anderson, PW (Princeton)
Monday 21 July 2008, 17:0018:00
http://www.newton.ac.uk/programmes/MPA/seminars/072117001.html
20130228T13:49:23+00:00
3075
1202
true
4x3
false
no

The low lying spectrum of onedimensional random models
ucs_sms_113_1315443
http://sms.cam.ac.uk/media/1315443
The low lying spectrum of onedimensional random models
Klopp, F (Université Pierre & Marie CurieParis VI )
Friday 21 September 2012, 11:5012:30
Tue, 25 Sep 2012 15:42:58 +0100
Isaac Newton Institute
Klopp, F
9a84f74119941691b77322acaf9d5cdf
62d5f255f210a9d226365c437773c320
d864c45413f179980d4828bc360b1cbb
Klopp, F (Université Pierre & Marie CurieParis VI )
Friday 21 September 2012,...
Klopp, F (Université Pierre & Marie CurieParis VI )
Friday 21 September 2012, 11:5012:30
Cambridge University
2653
http://sms.cam.ac.uk/media/1315443
The low lying spectrum of onedimensional random models
Klopp, F (Université Pierre & Marie CurieParis VI )
Friday 21 September 2012, 11:5012:30
The talk will be devoted to the description of the low luing spectrum and the associated states of onedimensional random models. The description will be applied to the study of onedimensional fermions interacting in a random field.
20120925T15:43:18+01:00
2653
1315443
true
16x9
false
no

The random phase hypothesis for quasi1D random media
ucs_sms_113_1546
http://sms.cam.ac.uk/media/1546
The random phase hypothesis for quasi1D random media
SchulzBaldes, H (ErlangenNurnberg)
Thursday 21 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Sun, 21 Sep 2008 01:42:47 +0100
SchulzBaldes, H
Isaac Newton Institute
SchulzBaldes, H
81fdbea0bd52d504a17bbbbd7aa4cd2f
1b1689a0ee922db2228c088136ce837a
beef3138c7cc77fa3863f59a157dc071
706e5ad7949ebdb9b2435a4649fe0ee9
SchulzBaldes, H (ErlangenNurnberg)
Thursday 21 August 2008,...
SchulzBaldes, H (ErlangenNurnberg)
Thursday 21 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
Cambridge University
3307
http://sms.cam.ac.uk/media/1546
The random phase hypothesis for quasi1D random media
SchulzBaldes, H (ErlangenNurnberg)
Thursday 21 August 2008, 15:3016:30
Anderson Localization and Related Phenomena
The random transfer matrices of a quasi1D system naturally act on the Grassmannian of symplectic frames, which is a compact symmetric space. The random phase hypothesis (RPH) claims that the invariant distribution is given by the Haar measure on the elliptic (or open) channels. This allows to derive the DKMP equations which in turn have a large number of applications. A general criterion is presented allowing to verify a weak form of the RPH in a perturbative situation. The criterion can be verified for the Wegner Norbital model and this allows to prove that its Lyapunov spectrum is equidistant. Other applications concern the localization length of the Anderson model on a strip (giving a generalization of the 1dThouless formula) as well as a perturbative formula for the density of states.
http://www.newton.ac.uk/programmes/MPA/seminars/082115301.html
20130228T13:49:08+00:00
3307
1546
true
4x3
false
no

Topological phases of matter, Anderson localization/delocalization and anomalous transport law
ucs_sms_113_1305625
http://sms.cam.ac.uk/media/1305625
Topological phases of matter, Anderson localization/delocalization and anomalous transport law
Ryu, S (University of Illinois at UrbanaChampaign)
Tuesday 18 September 2012, 09:3010:10
Fri, 21 Sep 2012 16:00:39 +0100
Isaac Newton Institute
Ryu, S
6cc056fec57f284b973344195fb1edc2
dd9fced0a8b603f8846a12062923d835
2942153a6d2241a6a9a2459a251d0779
Ryu, S (University of Illinois at UrbanaChampaign)
Tuesday 18 September 2012,...
Ryu, S (University of Illinois at UrbanaChampaign)
Tuesday 18 September 2012, 09:3010:10
Cambridge University
2490
http://sms.cam.ac.uk/media/1305625
Topological phases of matter, Anderson localization/delocalization and anomalous transport law
Ryu, S (University of Illinois at UrbanaChampaign)
Tuesday 18 September 2012, 09:3010:10
Topological phases of matter are a very quantum, highly entangled state of matter. While topological phases and Anderson localization are a quite big research field by themselves and can be discussed independently, they have a very close connection. I will discuss a cross fertilization of both fields by focusing on, in particular, physics at a boundary of topological phases. Due to the "bulkboundary correspondence", well known in the quantum Hall effect, quantum transport phenomena mediated by modes appearing at the boundary have a strong stability against impurities. I will extend this idea to a wider class of topological phases in higher dimensions and with the AltlandZirnbauer discrete symmetries. In topological superconductors in two and three spatial dimensions, I will derive a new thermodynamic relation ("Stredalike" formula) due to the nonzero thermal Hall conductance, and a thernal analogue of the axion electrodynamics.
20120921T16:00:58+01:00
2490
1305625
true
16x9
false
no

Tunneling electroconductivity of Bose condensates
ucs_sms_113_26306
http://sms.cam.ac.uk/media/26306
Tunneling electroconductivity of Bose condensates
Akulin, V (CNRS)
Tuesday 21 October 2008, 14:0015:00
Wed, 05 Nov 2008 10:11:35 +0000
Akulin, V
Isaac Newton Institute
Akulin, V
06097bc8157585bdc45a99cf2bcba854
75f440238187f6c7967a24001d7081dd
13d857b5ca900585d6d3e754768a3e74
4faa64efa087445d3bebe1063a2e9eff
Akulin, V (CNRS)
Tuesday 21 October 2008, 14:0015:00
Akulin, V (CNRS)
Tuesday 21 October 2008, 14:0015:00
Cambridge University
3671
http://sms.cam.ac.uk/media/26306
Tunneling electroconductivity of Bose condensates
Akulin, V (CNRS)
Tuesday 21 October 2008, 14:0015:00
Seminars from the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
http://www.newton.ac.uk/programmes/MPA/seminars/index.html
20130228T13:48:53+00:00
3671
26306
true
4x3
false
no

Universal statistics for directed polymers and the KPZ equation from the replica Bethe Ansatz
ucs_sms_113_1314152
http://sms.cam.ac.uk/media/1314152
Universal statistics for directed polymers and the KPZ equation from the replica Bethe Ansatz
Le Doussal, P (École Normale Supérieure)
Thursday 20 September 2012, 10:1010:50
Mon, 24 Sep 2012 12:52:17 +0100
Isaac Newton Institute
Le Doussal, P
c6a6a4f65c020000ba7624f5015f6ea8
a69e8327e102b1c7ef1f9bdd63a9a9fc
c51a2e53e396224e5d43410402ae404b
Le Doussal, P (École Normale Supérieure)
Thursday 20 September 2012,...
Le Doussal, P (École Normale Supérieure)
Thursday 20 September 2012, 10:1010:50
Cambridge University
2582
http://sms.cam.ac.uk/media/1314152
Universal statistics for directed polymers and the KPZ equation from the replica Bethe Ansatz
Le Doussal, P (École Normale Supérieure)
Thursday 20 September 2012, 10:1010:50
20120924T12:52:34+01:00
2582
1314152
true
16x9
false
no

Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices
ucs_sms_113_1314204
http://sms.cam.ac.uk/media/1314204
Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices
Shcherbina, T (Institute for Advanced Study, Princeton)
Thursday 20 September 2012, 11:1011:50
Mon, 24 Sep 2012 13:05:18 +0100
Isaac Newton Institute
Shcherbina, T
539bcdd7bcb51641fb3d57eb34e2a0c5
318dc37c3eb95c55a9ccd46f6929f544
afd2d6b107513effe0ab0f23722410e3
Shcherbina, T (Institute for Advanced Study, Princeton)
Thursday 20 September...
Shcherbina, T (Institute for Advanced Study, Princeton)
Thursday 20 September 2012, 11:1011:50
Cambridge University
2523
http://sms.cam.ac.uk/media/1314204
Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices
Shcherbina, T (Institute for Advanced Study, Princeton)
Thursday 20 September 2012, 11:1011:50
We consider the asymptotic behavior of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices, i.e. of the hermitian matrices Hn with independent Gaussian entries such that ⟨HijHlk⟩=δikδjlJij, where J=(−W2△+1)−1. Assuming that W2=n1+θ, 0<θ<1, we show that this asymptotic behavior (as n→∞) in the bulk of the spectrum coincides with those for the Gaussian Unitary Ensemble.
20120924T13:05:35+01:00
2523
1314204
true
16x9
false
no

Wave Turbulence: solved and open problems
ucs_sms_113_521587
http://sms.cam.ac.uk/media/521587
Wave Turbulence: solved and open problems
Nazarenko, S (Warwick)
Thursday 18 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Thu, 22 Jan 2009 13:55:58 +0000
Nazarenko, S
Isaac Newton Institute
Nazarenko, S
76abcfb5c62cc710084999b99f179869
6f193352e70eed9fcf7acac7f17bda07
d3c24bd99c07448d6a2604b5828970eb
338246cae184b771bb1c42ec2f1edc22
Nazarenko, S (Warwick)
Thursday 18 December 2008, 15:3016:30
Classical and...
Nazarenko, S (Warwick)
Thursday 18 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3714
http://sms.cam.ac.uk/media/521587
Wave Turbulence: solved and open problems
Nazarenko, S (Warwick)
Thursday 18 December 2008, 15:3016:30
Classical and Quantum Transport in the Presence of Disorder
Wave Turbulence (WT) refers to a statistical state of many dispersive modes which are weakly nonlinear on average. I will present the fundamental building blocks of the WT theory, assumptions and their justifications, physical examples, solved problems and open questions. I will describe some recent work which goes beyond the traditional WT consideration of the wave spectra, and deals with wave PDFs, nongaussianity, intermittency. I will outline picture of the WT cycle in which weak (on average) random waves can get transformed into strong coherent structures, which in turn partially dissipate their energy and partially return it to the incoherent waves. My main aim will be to reach out to the stat mech community, in hope to find common points and approaches which could be employed for better understanding of the WT systems.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:48:33+00:00
3714
521587
true
4x3
false
no

Wegner estimate and level repulsion for Wigner random matrices
ucs_sms_113_520863
http://sms.cam.ac.uk/media/520863
Wegner estimate and level repulsion for Wigner random matrices
Erdos, L (LudwigMaximiliansUniversität München)
Monday 15 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Tue, 20 Jan 2009 13:40:36 +0000
Erdos, L
Isaac Newton Institute
Erdos, L
ea22d1b587be684514c181356d5adb0a
ddcd6a5eb75c361fd09af48f01aaaf41
3d6a2210380e41e33b720d21e7791eb0
c24b465ab932d2202cdb6c06156f7df9
Erdos, L (LudwigMaximiliansUniversität München)
Monday 15 December 2008,...
Erdos, L (LudwigMaximiliansUniversität München)
Monday 15 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
Cambridge University
3949
http://sms.cam.ac.uk/media/520863
Wegner estimate and level repulsion for Wigner random matrices
Erdos, L (LudwigMaximiliansUniversität München)
Monday 15 December 2008, 16:3017:30
Classical and Quantum Transport in the Presence of Disorder
We consider N x N Hermitian random matrices with independent identically distributed entries (Wigner matrices). The matrices are normalized so that the average spacing between consecutive eigenvalues is of order 1/N. Under suitable assumptions on the distribution of the single matrix element, we first prove that, away from the spectral edges, the empirical density of eigenvalues concentrates around the Wigner semicircle law on energy scales of order 1/N. This result establishes the semicircle law on the optimal scale and it removes a logarithmic factor from our previous result. We then show a Wegner estimate, i.e. that the averaged density of states is bounded. Finally, we prove that the eigenvalues of a Wigner matrix repel each other, in agreement with the universality conjecture.
A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After.
20130228T13:48:21+00:00
3949
520863
true
4x3
false
no
113