3
RGM follow up
http://sms.cam.ac.uk/collection/2784872
The subject of random geometry has evolved considerably during the programme of the same name which took place at the Newton Institute in spring 2015, and in the intervening months. For instance, a unification of the discrete and continuous perspectives for random surface models (eg random planar maps and Liouville quantum gravity) has been greatly advanced; new methods have been introduced in the study of disordered systems and their phase transitions; and new directions of research have emerged such as a rigorous investigation of YangMills models.The goal of the twoweek workshop will be to allow researchers worldwide and from all career stages to catch up on these developments, and to plan for future research directions of the subject by capitalising on recent progress.The workshop will combine a series of minicourses with invited talks (TBA) over a period of two weeks.
1440
2018
Fri, 20 Jul 2018 17:03:06 +0100
Mon, 09 Jul 2018 15:58:15 +0100
en
smssupport@ucs.cam.ac.uk
RGM follow up
http://sms.cam.ac.uk/collection/2784872
http://rss.sms.cam.ac.uk/images/cam/identifier2.png
http://video.search.yahoo.com/mrss
RGM follow up
The subject of random geometry has evolved considerably during the programme of the same name which took place at the Newton Institute in spring 2015, and in the intervening months. For instance, a unification of the discrete and continuous perspectives for random surface models (eg random planar maps and Liouville quantum gravity) has been greatly advanced; new methods have been introduced in the study of disordered systems and their phase transitions; and new directions of research have emerged such as a rigorous investigation of YangMills models.The goal of the twoweek workshop will be to allow researchers worldwide and from all career stages to catch up on these developments, and to plan for future research directions of the subject by capitalising on recent progress.The workshop will combine a series of minicourses with invited talks (TBA) over a period of two weeks.
RGM follow up
The subject of random geometry has evolved considerably during the programme of the same name which took place at the Newton Institute in spring 2015, and in the intervening months. For instance, a unification of the discrete and continuous perspectives for random surface models (eg random planar maps and Liouville quantum gravity) has been greatly advanced; new methods have been introduced in the study of disordered systems and their phase transitions; and new directions of research have emerged such as a rigorous investigation of YangMills models.The goal of the twoweek workshop will be to allow researchers worldwide and from all career stages to catch up on these developments, and to plan for future research directions of the subject by capitalising on recent progress.The workshop will combine a series of minicourses with invited talks (TBA) over a period of two weeks.
Cambridge University
ah984
ah984@cam.ac.uk
http://sms.cam.ac.uk/collection/2784872
RGM follow up
20180709T15:58:15+01:00
INIMS
002281
no

Geometry of large random planar maps with a prescribed degree sequence
ucs_sms_2784872_2787273
http://sms.cam.ac.uk/media/2787273
Geometry of large random planar maps with a prescribed degree sequence
Marzouk, C
Friday 13th July 2018  09:10 to 09:30
Fri, 13 Jul 2018 16:08:54 +0100
Isaac Newton Institute
Marzouk, C
0820e920a952462851dfa9a8cdcb9c7c
a75fac7dccc08cfa59d8ad6b394dc275
90bb750918db8b57b7e4c758eb8caf38
1ea7f4ae6263f7269e4d2a2ede96b967
Marzouk, C
Friday 13th July 2018  09:10 to 09:30
Marzouk, C
Friday 13th July 2018  09:10 to 09:30
Cambridge University
1259
http://sms.cam.ac.uk/media/2787273
Geometry of large random planar maps with a prescribed degree sequence
Marzouk, C
Friday 13th July 2018  09:10 to 09:30
I will discuss some recent progress and still ongoing work about the scaling limit of the following configurationlike model on random planar maps: for every integer n, we are given n deterministic (even) integers and we sample a planar map uniformly at random amongst those maps with n faces and these prescribed degrees. Under a `no macroscopic face' assumption, these maps converge in distribution after suitable scaling towards the celebrated Brownian map, in the GromovHausdorffProkhorov sense. This model covers that of pangulations when all the integers are equal to some p, which we can allow to vary with n, without constraint; it also applies to socalled Boltzmann random maps and yields a CLT for planar maps.
20180713T16:08:55+01:00
1259
2787273
true
16x9
false
no

A characterisation of the Gaussian free field
ucs_sms_2784872_2789179
http://sms.cam.ac.uk/media/2789179
A characterisation of the Gaussian free field
Powell, E
Monday 16th July 2018  13:45 to 14:30
Tue, 17 Jul 2018 09:13:04 +0100
Isaac Newton Institute
Powell, E
ac168f1d9dc6a5e8fac5302336138689
f7c2e5895cddca9ee6925cc0ba6b8c03
3a647d93de5abcc4da8f1786e7efc542
6043128b746313b6d369446c85b98e4c
Powell, E
Monday 16th July 2018  13:45 to 14:30
Powell, E
Monday 16th July 2018  13:45 to 14:30
Cambridge University
2916
http://sms.cam.ac.uk/media/2789179
A characterisation of the Gaussian free field
Powell, E
Monday 16th July 2018  13:45 to 14:30
I will present a joint work with Nathanaël Berestycki and Goirab Ray in which we prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption.
20180717T09:13:05+01:00
2916
2789179
true
16x9
false
no

A multifractal SLE_kappa(rho) boundary spectrum
ucs_sms_2784872_2789193
http://sms.cam.ac.uk/media/2789193
A multifractal SLE_kappa(rho) boundary spectrum
Schoug, L
Monday 16th July 2018  15:00 to 15:20
Tue, 17 Jul 2018 09:06:21 +0100
Isaac Newton Institute
Schoug, L
d9a5ad5c0b8dc74909ce9d550c60e9bc
d71329ced9b45ded75d3b2f0435e96ef
e5fa3bcd47b81c4db6c3e0c878bb8652
77306f026e0d814a7205fedc17e7ce53
Schoug, L
Monday 16th July 2018  15:00 to 15:20
Schoug, L
Monday 16th July 2018  15:00 to 15:20
Cambridge University
1694
http://sms.cam.ac.uk/media/2789193
A multifractal SLE_kappa(rho) boundary spectrum
Schoug, L
Monday 16th July 2018  15:00 to 15:20
In a recent work, we have derived an almost sure multifractal boundary spectrum for SLE_kappa(rho)processes. Finding the upper bound on the dimension is fairly standard and is done with the help of Girsanov's theorem. The lower bound on the dimension, however, is a bit more cumbersome. To find this, we use the imaginary geometry coupling of SLE and GFF to find a sufficient twopoint estimate. In this talk, we will mainly focus on construction of the perfect points and the method of finding the twopoint estimate.
20180717T09:06:21+01:00
1694
2789193
true
16x9
false
no

An introduction to gauge theories for probabilists: Part I
ucs_sms_2784872_2785351
http://sms.cam.ac.uk/media/2785351
An introduction to gauge theories for probabilists: Part I
Chatterjee, S
Monday 9th July 2018  10:00 to 11:00
Tue, 10 Jul 2018 13:24:25 +0100
Isaac Newton Institute
Chatterjee, S
4a182a971ea560031ca5ad201048d769
5d0038fe9b1de05fb6c1d2ee506dfae2
ac093565ca379a88cb488fca19168cf7
bf8dbfed43c67eab9762747e59c91928
Chatterjee, S
Monday 9th July 2018  10:00 to 11:00
Chatterjee, S
Monday 9th July 2018  10:00 to 11:00
Cambridge University
4140
http://sms.cam.ac.uk/media/2785351
An introduction to gauge theories for probabilists: Part I
Chatterjee, S
Monday 9th July 2018  10:00 to 11:00
In this lecture series, I will introduce the basic framework of quantum YangMills theories and lattice gauge theories from the probabilist’s point of view. A summary of available rigorous results and open problems will be given. This will be followed by a discussion of gaugestring duality, large N lattice gauge theories, and some recent results. In the first lecture, I will introduce the physical description of quantum YangMills theories. I will also briefly discuss Wilson loops, quark confinement, and perturbative expansions.
20180710T13:24:25+01:00
4140
2785351
true
16x9
false
no

An introduction to gauge theories for probabilists: Part II
ucs_sms_2784872_2785954
http://sms.cam.ac.uk/media/2785954
An introduction to gauge theories for probabilists: Part II
Chatterjee, S
Tuesday 10th July 2018  11:15 to 12:15
Wed, 11 Jul 2018 12:58:16 +0100
Isaac Newton Institute
Chatterjee, S
78986b8a93525556bbf0dbc7bb609453
7c6bd2649c858896119b333db32c5b22
34aee416943dee6ef35303cc6b027ab5
60522360b588b28bb11ca5d603edeb61
Chatterjee, S
Tuesday 10th July 2018  11:15 to 12:15
Chatterjee, S
Tuesday 10th July 2018  11:15 to 12:15
Cambridge University
3437
http://sms.cam.ac.uk/media/2785954
An introduction to gauge theories for probabilists: Part II
Chatterjee, S
Tuesday 10th July 2018  11:15 to 12:15
In the second lecture of the series, I will introduce lattice gauge theories. A brief review of available rigorous results and open problems will be given.
20180711T12:58:16+01:00
3437
2785954
true
16x9
false
no

An introduction to gauge theories for probabilists: Part III
ucs_sms_2784872_2786720
http://sms.cam.ac.uk/media/2786720
An introduction to gauge theories for probabilists: Part III
Chatterjee, S
Thursday 12th July 2018  10:00 to 11:00
Thu, 12 Jul 2018 16:48:13 +0100
Isaac Newton Institute
Chatterjee, S
3ae2297954d30910a13fe9db838e3ddc
d0dbc46378322f3dce3a5a3e25f28c57
40ef9ec055bfa8c63719cd11ab8da6a6
cb3a1f5f53172fcf9040b2cc23bd5469
Chatterjee, S
Thursday 12th July 2018  10:00 to 11:00
Chatterjee, S
Thursday 12th July 2018  10:00 to 11:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2786720
An introduction to gauge theories for probabilists: Part III
Chatterjee, S
Thursday 12th July 2018  10:00 to 11:00
In the third lecture of the series, I will talk about the master loop equation and gaugestring duality. Recent rigorous results will be discussed and proof sketches will be given. As in the previous lectures, many open problems will be stated.
20180712T16:48:14+01:00
3840
2786720
true
16x9
false
no

An operatortheoretic approach to nonamenable percolation
ucs_sms_2784872_2786713
http://sms.cam.ac.uk/media/2786713
An operatortheoretic approach to nonamenable percolation
Hutchcroft, T
Thursday 12th July 2018  09:10 to 09:55
Thu, 12 Jul 2018 16:41:07 +0100
Isaac Newton Institute
Hutchcroft, T
7fe1aff3f77ffd195b1ea8290067f388
d5830e285bfc9339fe2406f029fd2de0
6d3f407856388557927df3c6f2f25418
5af59d376045278e6ee51d71856bc5c0
Hutchcroft, T
Thursday 12th July 2018  09:10 to 09:55
Hutchcroft, T
Thursday 12th July 2018  09:10 to 09:55
Cambridge University
2799
http://sms.cam.ac.uk/media/2786713
An operatortheoretic approach to nonamenable percolation
Hutchcroft, T
Thursday 12th July 2018  09:10 to 09:55
I will discuss progress on and implications of the following new conjecture: For any nonamenable transitive graph G=(V,E), the matrix of connection probabilities in critical Bernoulli percolation is bounded as an operator from L^2(V) to L^2(V).
20180712T16:41:07+01:00
2799
2786713
true
16x9
false
no

Capacity of random walk and Wiener sausage in 4 dimensions
ucs_sms_2784872_2792012
http://sms.cam.ac.uk/media/2792012
Capacity of random walk and Wiener sausage in 4 dimensions
Sousi, P
Thursday 19th July 2018  09:10 to 09:55
Fri, 20 Jul 2018 09:12:16 +0100
Isaac Newton Institute
Sousi, P
be3d4bd7d534d2f54efa2eb53ea15aad
76afc8af764dadf2548e4fe4623463fc
10f9a90c21d78b45469662a4fcd56921
d9811a05ce9a3f17b9c5aa9c299902d3
Sousi, P
Thursday 19th July 2018  09:10 to 09:55
Sousi, P
Thursday 19th July 2018  09:10 to 09:55
Cambridge University
2849
http://sms.cam.ac.uk/media/2792012
Capacity of random walk and Wiener sausage in 4 dimensions
Sousi, P
Thursday 19th July 2018  09:10 to 09:55
In four dimensions we prove a nonconventional CLT for the capacity of the range of simple random walk and a strong law of large numbers for the capacity of the Wiener sausage. This is joint work with Amine Asselah and Bruno Schapira.
20180720T09:12:17+01:00
2849
2792012
true
16x9
false
no

Cardy embedding of uniform triangulations
ucs_sms_2784872_2785940
http://sms.cam.ac.uk/media/2785940
Cardy embedding of uniform triangulations
Holden, N
Tuesday 10th July 2018  09:10 to 09:55
Wed, 11 Jul 2018 13:04:55 +0100
Isaac Newton Institute
Holden, N
9dc980bc95325b4a41884aed4f1214d4
33ef3ba8dcbc831c370c8c9cabf094e3
97db57e4c7fd02a78b489037c87fc54a
108d28f8bdfe411c4f20b9c5469c6004
Holden, N
Tuesday 10th July 2018  09:10 to 09:55
Holden, N
Tuesday 10th July 2018  09:10 to 09:55
Cambridge University
2355
http://sms.cam.ac.uk/media/2785940
Cardy embedding of uniform triangulations
Holden, N
Tuesday 10th July 2018  09:10 to 09:55
The Cardy embedding is a discrete conformal embedding for random planar maps which is based on percolation observables. We present a series of works in progress with the goal of showing convergence of uniform triangulations to 8/3−−−√8/3LQG under this embedding. The project is a collaboration with Xin Sun, and also based on our joint works with Bernardi, Garban, Gwynne, Lawler, Li, and Sepulveda.
20180711T13:04:55+01:00
2355
2785940
true
16x9
false
no

Condensation in critical Cauchy BienayméGaltonWatson trees
ucs_sms_2784872_2786758
http://sms.cam.ac.uk/media/2786758
Condensation in critical Cauchy BienayméGaltonWatson trees
Kortchemski, I
Thursday 12th July 2018  14:35 to 15:20
Thu, 12 Jul 2018 16:51:02 +0100
Isaac Newton Institute
Kortchemski, I
3e245825a3d267ffdf8b1affaa53e91b
89449b9b5997dccb9237182593c76046
8d61c110675da5a6b23c6f2961836385
942447a5141eb423dfd5451dcc38e22d
Kortchemski, I
Thursday 12th July 2018  14:35 to 15:20
Kortchemski, I
Thursday 12th July 2018  14:35 to 15:20
Cambridge University
3525
http://sms.cam.ac.uk/media/2786758
Condensation in critical Cauchy BienayméGaltonWatson trees
Kortchemski, I
Thursday 12th July 2018  14:35 to 15:20
We will be interested in the structure of large BienayméGaltonWatson random trees whose offspring distribution is critical and falls within the domain of attraction of a stable law of index α=1. In stark contrast to the case α∈(1,2], we show that a condensation phenomenon occurs: in such trees, one vertex with macroscopic degree emerges. One of the main tools is a limit theorem for centered downwards skipfree random walks whose steps are in the domain of attraction of a Cauchy distribution, when conditioned on a late entrance in the negative real line. As an application, we study the geometry of the boundary of random planar maps in a specific regime (called nongeneric of parameter 3/2) and support the conjecture that faces in Le Gall & Miermont's 3/2stable maps are selfavoiding. This is joint work with Loïc Richier.
20180712T16:51:02+01:00
3525
2786758
true
16x9
false
no

Conformal loop ensembles on Liouville quantum gravity 1
ucs_sms_2784872_2789165
http://sms.cam.ac.uk/media/2789165
Conformal loop ensembles on Liouville quantum gravity 1
Werner, W
Monday 16th July 2018  10:00 to 11:00
Tue, 17 Jul 2018 09:05:36 +0100
Isaac Newton Institute
Werner, W
4cdca2aa24e4eaaed687a0d0484a012e
9f134f64888ac03215c5d64e32ccbf17
d5065de6b3eb2091dc2820db7371526f
24c4b1fc50ea783ae4cc864f6115896e
Werner, W
Monday 16th July 2018  10:00 to 11:00
Werner, W
Monday 16th July 2018  10:00 to 11:00
Cambridge University
4380
http://sms.cam.ac.uk/media/2789165
Conformal loop ensembles on Liouville quantum gravity 1
Werner, W
Monday 16th July 2018  10:00 to 11:00
In these three lectures, I plan to describe our ongoing research program with Jason Miller and Scott Sheffield that deals with the natural interplay between Conformal Loop Ensembles and the Liouville Quantum gravity area measures. I will explain some features in the continuous world of CLE and LQG/GFF that do hopefully enlighten some of the basic features of the Quantum gravity approach to critical systems, and give a roadmap to understand the scaling limit of some decorated discrete planar maps models.
20180717T09:05:37+01:00
4380
2789165
true
16x9
false
no

Conformal loop ensembles on Liouville quantum gravity 2
ucs_sms_2784872_2789469
http://sms.cam.ac.uk/media/2789469
Conformal loop ensembles on Liouville quantum gravity 2
Werner, W
Tuesday 17th July 2018  11:15 to 12:15
Tue, 17 Jul 2018 16:05:10 +0100
Isaac Newton Institute
Werner, W
d75330151b1653d7abc5cfbf0b376fe2
5fe177291669332e3caa03596d9df1e9
9dd1441c9209f2c2c392035d9dbff97b
e0485f5b33aa927b370cfe4d6bbe4ec2
Werner, W
Tuesday 17th July 2018  11:15 to 12:15
Werner, W
Tuesday 17th July 2018  11:15 to 12:15
Cambridge University
3960
http://sms.cam.ac.uk/media/2789469
Conformal loop ensembles on Liouville quantum gravity 2
Werner, W
Tuesday 17th July 2018  11:15 to 12:15
In these three lectures, I plan to describe our ongoing research program with Jason Miller and Scott Sheffield that deals with the natural interplay between Conformal Loop Ensembles and the Liouville Quantum gravity area measures. I will explain some features in the continuous world of CLE and LQG/GFF that do hopefully enlighten some of the basic features of the Quantum gravity approach to critical systems, and give a roadmap to understand the scaling limit of some decorated discrete planar maps models.
20180717T16:05:11+01:00
3960
2789469
true
16x9
false
no

Conformal loop ensembles on Liouville quantum gravity 3
ucs_sms_2784872_2790029
http://sms.cam.ac.uk/media/2790029
Conformal loop ensembles on Liouville quantum gravity 3
Werner, W
Wednesday 18th July 2018  10:00 to 11:00
Wed, 18 Jul 2018 14:03:37 +0100
Isaac Newton Institute
Werner, W
13da86fba035c73ee56819bf63b60458
7bd6cc83ff2ad1e4a388637c96848ea5
9ccd55de7b55300c73b716bb1f61bf42
64d69da2dafb3f0aadfa10e6118c58c5
Werner, W
Wednesday 18th July 2018  10:00 to 11:00
Werner, W
Wednesday 18th July 2018  10:00 to 11:00
Cambridge University
4620
http://sms.cam.ac.uk/media/2790029
Conformal loop ensembles on Liouville quantum gravity 3
Werner, W
Wednesday 18th July 2018  10:00 to 11:00
In these three lectures, I plan to describe our ongoing research program with Jason Miller and Scott Sheffield that deals with the natural interplay between Conformal Loop Ensembles and the Liouville Quantum gravity area measures. I will explain some features in the continuous world of CLE and LQG/GFF that do hopefully enlighten some of the basic features of the Quantum gravity approach to critical systems, and give a roadmap to understand the scaling limit of some decorated discrete planar maps models.
20180718T14:03:37+01:00
4620
2790029
true
16x9
false
no

Critical Ising model on random triangulations of the disk: enumeration and limits
ucs_sms_2784872_2787280
http://sms.cam.ac.uk/media/2787280
Critical Ising model on random triangulations of the disk: enumeration and limits
Turunen, J
Friday 13th July 2018  09:35 to 09:55
Fri, 13 Jul 2018 16:11:35 +0100
Isaac Newton Institute
Turunen, J
c07f334c1962c9912c4250c2832e5c19
d94663d4a71b80d5ed855c2df11953c5
8f5f0c43f104b3e21385fa7ab96eb5fd
24ab14c13f0df3b381f7a6f18b56ae50
Turunen, J
Friday 13th July 2018  09:35 to 09:55
Turunen, J
Friday 13th July 2018  09:35 to 09:55
Cambridge University
1514
http://sms.cam.ac.uk/media/2787280
Critical Ising model on random triangulations of the disk: enumeration and limits
Turunen, J
Friday 13th July 2018  09:35 to 09:55
In this talk, I consider Boltzmann random triangulations coupled to the Ising model on their faces, under Dobrushin boundary conditions and at the critical point. First, the partition function is computed and the perimeter exponent shown to be 7/3 instead of the exponent 5/2 for uniform triangulations. Then, I sketch the construction of the local limit in distribution when the two components of the Dobrushin boundary tend to infinity one after the other, using the peeling process along an Ising interface. In particular, the main interface in the local limit touches the (infinite) boundary almost surely only finitely many times, a behavior opposite to that of the Bernoulli percolation on uniform maps. Some scaling limits closely related to the perimeters of clusters are also discussed. This is based on a joint work with Linxiao Chen.
20180713T16:11:35+01:00
1514
2787280
true
16x9
false
no

Cutoff for the SwendsenWang dynamics
ucs_sms_2784872_2790015
http://sms.cam.ac.uk/media/2790015
Cutoff for the SwendsenWang dynamics
Nam, D
Wednesday 18th July 2018  09:10 to 09:30
Wed, 18 Jul 2018 13:47:04 +0100
Isaac Newton Institute
Nam, D
d1f054342e8287bc612fc5a93aa069d8
9896b7a26cb5a11bf3037b70a024aec4
3fb8fead559dcdeaeeaaf463fe353363
bdbc7068590c82e97c3937ba334ce564
Nam, D
Wednesday 18th July 2018  09:10 to 09:30
Nam, D
Wednesday 18th July 2018  09:10 to 09:30
Cambridge University
1161
http://sms.cam.ac.uk/media/2790015
Cutoff for the SwendsenWang dynamics
Nam, D
Wednesday 18th July 2018  09:10 to 09:30
The SwendsenWang dynamics is an MCMC sampler of the Ising/Potts model, which recolors many vertices at once based on the randomcluster representation of the model. Although widely used in practice due to efficiency, the mixing time of the SwendsenWang dynamics is far from being wellunderstood, mainly because of its nonlocal behavior. In this talk, we prove cutoff phenomenon for the SwendsenWang dynamics on the lattice at high enough temperatures, meaning that the Markov chain exhibits a sharp transition from mixed€ to wellmixed.
Joint work with Allan Sly.
20180718T13:47:05+01:00
1161
2790015
true
16x9
false
no

Distribution of gaussian multiplicative chaos on the unit interval
ucs_sms_2784872_2792279
http://sms.cam.ac.uk/media/2792279
Distribution of gaussian multiplicative chaos on the unit interval
Zhu, T
Friday 20th July 2018  14:10 to 14:30
Fri, 20 Jul 2018 15:36:14 +0100
Isaac Newton Institute
Zhu, T
50f1313ee4ca8ca6e3d6bd5832d9ed49
617b57823a73fd82476f5ae3cc39e4e0
07f8b157457ce70ea701ce37b38bdaba
2872c34602b21f19560a8c759ea8c744
Zhu, T
Friday 20th July 2018  14:10 to 14:30
Zhu, T
Friday 20th July 2018  14:10 to 14:30
Cambridge University
1043
http://sms.cam.ac.uk/media/2792279
Distribution of gaussian multiplicative chaos on the unit interval
Zhu, T
Friday 20th July 2018  14:10 to 14:30
Starting from a logcorrelated field one can define by a standard regularization technique the associated Gaussian multiplicative chaos (GMC) measure with density formally given by the exponential of the logcorrelated field. Very recently exact formulas have been obtained for specific GMC measures. On the Riemann sphere a proof of the celebrated DOZZ formula has been given by KupiainenRhodesVargas and for the GMC on the unit circle the FyodorovBouchaud formula has been recently proven by Remy. In this talk we will present additional results on GMC measures associated to a logcorrelated field on the unit interval [0,1]. We will present a very general formula for the real moments of the total mass of GMC with logsingularities in 0 and 1. This proves a set of conjectures given by Fyodorov, Le Doussal, Rosso and Ostrovsky. As a corollary, this gives the distribution of the total mass.
20180720T15:36:14+01:00
1043
2792279
true
16x9
false
no

Exact formulas on Gaussian multiplicative chaos and Liouville theory
ucs_sms_2784872_2792258
http://sms.cam.ac.uk/media/2792258
Exact formulas on Gaussian multiplicative chaos and Liouville theory
Remy, G
Friday 20th July 2018  09:10 to 09:55
Fri, 20 Jul 2018 15:39:17 +0100
Isaac Newton Institute
Remy, G
135ffb2b1bb425a92a40616f40e2c5cb
e86ae9a640567392c95b6712ae27c324
d8874fa19fe2df14ef1590d47129f28c
3592ed0c28251227ca0cb26f4c9787ff
Remy, G
Friday 20th July 2018  09:10 to 09:55
Remy, G
Friday 20th July 2018  09:10 to 09:55
Cambridge University
2525
http://sms.cam.ac.uk/media/2792258
Exact formulas on Gaussian multiplicative chaos and Liouville theory
Remy, G
Friday 20th July 2018  09:10 to 09:55
We will present recent progress that has been made to prove exact formulas on the Gaussian multiplicative chaos (GMC) measures. We will give the law of the total mass of the GMC measure on the unit circle (the FyodorovBouchaud formula) and on the unit interval (in collaboration with T. Zhu). The techniques of proof come from the link between GMC and Liouville conformal field theory studied by DavidKupiainenRhodesVargas. If time permits we will also discuss the connections with the quantum sphere and the quantum disk of the DuplantierMillerSheffield approach to Liouville quantum gravity.
20180720T15:39:17+01:00
2525
2792258
true
16x9
false
no

Exploring random maps: slicing, peeling and layering  1
ucs_sms_2784872_2785947
http://sms.cam.ac.uk/media/2785947
Exploring random maps: slicing, peeling and layering  1
Miermont, G
Tuesday 10th July 2018  10:00 to 11:00
Wed, 11 Jul 2018 13:14:15 +0100
Isaac Newton Institute
Miermont, G
d3731c489f97b05926dd45ca2b8e83af
e8f5950c4b5e186aab7f5ee7c35c7e84
a6f42ac938f0bfac3deea957c428bdac
6b65766dbf3aa053894c411aee3fb193
Miermont, G
Tuesday 10th July 2018  10:00 to 11:00
Miermont, G
Tuesday 10th July 2018  10:00 to 11:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2785947
Exploring random maps: slicing, peeling and layering  1
Miermont, G
Tuesday 10th July 2018  10:00 to 11:00
The combinatorial theory of maps, or graphs on surfaces, is rich of many different approaches (recursive decompositions, algebraic approches, matrix integrals, bijective approaches) which often have probabilistic counterparts that are of interest when one wants to study geometric aspects of random maps. In these lectures, I will review parts of this theory by focusing on three different decompositions of maps, namely, the slice decomposition, the peeling process, and the decomposition in layers, and by showing how these decompositions can be used to give access to quite different geometric properties of random maps.
20180711T13:14:15+01:00
3720
2785947
true
16x9
false
no

Exploring random maps: slicing, peeling and layering  2
ucs_sms_2784872_2786727
http://sms.cam.ac.uk/media/2786727
Exploring random maps: slicing, peeling and layering  2
Miermont, G
Thursday 12th July 2018  11:15 to 12:15
Thu, 12 Jul 2018 16:50:56 +0100
Isaac Newton Institute
Miermont, G
c3006aad3671c9e24e5630147ea80b4f
dc3bd1724e99979872911834413d811b
d9e35f29e43914fbc3de55c745366cf1
a53fd34c0d5490bff04af26a3b81f83f
Miermont, G
Thursday 12th July 2018  11:15 to 12:15
Miermont, G
Thursday 12th July 2018  11:15 to 12:15
Cambridge University
4020
http://sms.cam.ac.uk/media/2786727
Exploring random maps: slicing, peeling and layering  2
Miermont, G
Thursday 12th July 2018  11:15 to 12:15
The combinatorial theory of maps, or graphs on surfaces, is rich of many different approaches (recursive decompositions, algebraic approches, matrix integrals, bijective approaches) which often have probabilistic counterparts that are of interest when one wants to study geometric aspects of random maps. In these lectures, I will review parts of this theory by focusing on three different decompositions of maps, namely, the slice decomposition, the peeling process, and the decomposition in layers, and by showing how these decompositions can be used to give access to quite different geometric properties of random maps.
20180712T16:50:56+01:00
4020
2786727
true
16x9
false
no

Exploring random maps: slicing, peeling and layering  3
ucs_sms_2784872_2787287
http://sms.cam.ac.uk/media/2787287
Exploring random maps: slicing, peeling and layering  3
Miermont, G
Friday 13th July 2018  10:00 to 11:00
Mon, 16 Jul 2018 08:36:05 +0100
Isaac Newton Institute
Miermont, G
3a61f5c63e2c6513c0d9e1afe8b79753
9db52f7e12e6995f4dac151a3d449110
43f38522e7ef4d251793e1360158a5d5
5a0012a00978dab69e6b4e2c742550b7
Miermont, G
Friday 13th July 2018  10:00 to 11:00
Miermont, G
Friday 13th July 2018  10:00 to 11:00
Cambridge University
3960
http://sms.cam.ac.uk/media/2787287
Exploring random maps: slicing, peeling and layering  3
Miermont, G
Friday 13th July 2018  10:00 to 11:00
The combinatorial theory of maps, or graphs on surfaces, is rich of many different approaches (recursive decompositions, algebraic approches, matrix integrals, bijective approaches) which often have probabilistic counterparts that are of interest when one wants to study geometric aspects of random maps. In these lectures, I will review parts of this theory by focusing on three different decompositions of maps, namely, the slice decomposition, the peeling process, and the decomposition in layers, and by showing how these decompositions can be used to give access to quite different geometric properties of random maps.
20180716T08:36:06+01:00
3960
2787287
true
16x9
false
no

External DLA on a spanningtreeweighted random planar map
ucs_sms_2784872_2792272
http://sms.cam.ac.uk/media/2792272
External DLA on a spanningtreeweighted random planar map
Pfeffer, J
Friday 20th July 2018  13:45 to 14:05
Fri, 20 Jul 2018 15:35:33 +0100
Isaac Newton Institute
Pfeffer, J
a2fe1d1056ec734e9d2af23bb5aad39f
a3476d8f2ee8b5def7a3e8614135dab2
9527a90eba59d092b60bcda49c7996f0
0fb9b8b578b101b79b20decbe17eb0a5
Pfeffer, J
Friday 20th July 2018  13:45 to 14:05
Pfeffer, J
Friday 20th July 2018  13:45 to 14:05
Cambridge University
1117
http://sms.cam.ac.uk/media/2792272
External DLA on a spanningtreeweighted random planar map
Pfeffer, J
Friday 20th July 2018  13:45 to 14:05
External diffusion limited aggregation (DLA) is a widely studied subject in the physics literature, with many manifestations in nature; but it is not wellunderstood mathematically in any environment. We consider external DLA on an infinite spanningtreeweighted random planar map. We prove that the growth exponent for the external diameter of the DLA cluster exists and is equal to 2/d2√2/d2, where d2√d2 denotes the ``fractal dimension of 2–√2Liouville quantum gravity (LQG)''or, equivalently, the ball volume growth exponent for the spanningtree weighted map. Our proof is based on the fact that the complement of an external DLA cluster on a spanningtree weighted map is a spanningtree weighted map with boundary, which allows us to reduce our problem to proving certain estimates for distances in random planar maps with boundary. This is joint work with Ewain Gwynne.
20180720T15:35:33+01:00
1117
2792272
true
16x9
false
no

Geometric descriptions of the Loewner energy
ucs_sms_2784872_2789476
http://sms.cam.ac.uk/media/2789476
Geometric descriptions of the Loewner energy
Wang, Y
Tuesday 17th July 2018  13:45 to 14:30
Tue, 17 Jul 2018 16:01:51 +0100
Isaac Newton Institute
Wang, Y
d6c43d667589a9270443b8db8757fb0d
e54de8f30b623aea289d480d8dbcbe5b
b1bae3be800e7847ff5256e77b4fd163
8f643a8cb5550eeac163e8bb68afcff0
Wang, Y
Tuesday 17th July 2018  13:45 to 14:30
Wang, Y
Tuesday 17th July 2018  13:45 to 14:30
Cambridge University
2919
http://sms.cam.ac.uk/media/2789476
Geometric descriptions of the Loewner energy
Wang, Y
Tuesday 17th July 2018  13:45 to 14:30
The Loewner energy of a simple loop on the Riemann sphere is defined to be the Dirichlet energy of its driving function which is reminiscent in the SLE theory. It was shown in a joint work with Steffen Rohde that the definition is independent of the parametrization of the loop, therefore provides a Moebius invariant quantity on free loops which vanishes only on the circles. In this talk, I will present intrinsic interpretations of the Loewner energy (without involving the iteration of conformal distortions given by the Loewner flow), using the zetaregularizations of determinants of Laplacians and show that the class of finite energy loops coincides with the WeilPetersson class of the universal Teichmueller space.
20180717T16:01:52+01:00
2919
2789476
true
16x9
false
no

Lattice walks & peeling of planar maps
ucs_sms_2784872_2789455
http://sms.cam.ac.uk/media/2789455
Lattice walks & peeling of planar maps
Budd, T
Tuesday 17th July 2018  09:10 to 09:55
Tue, 17 Jul 2018 15:56:39 +0100
Isaac Newton Institute
Budd, T
f61240d7320536653c8b291770e45835
8dbc77aac5ceae2ca08fe4c603d28862
271705743114f58affc6d0f0039bfd40
e0c7daebba43981fa096935c1100145c
Budd, T
Tuesday 17th July 2018  09:10 to 09:55
Budd, T
Tuesday 17th July 2018  09:10 to 09:55
Cambridge University
3199
http://sms.cam.ac.uk/media/2789455
Lattice walks & peeling of planar maps
Budd, T
Tuesday 17th July 2018  09:10 to 09:55
20180717T15:56:39+01:00
3199
2789455
true
16x9
false
no

On the Liouville heat kernel and Liouville graph distance (joint with Ding and Zhang)
ucs_sms_2784872_2785961
http://sms.cam.ac.uk/media/2785961
On the Liouville heat kernel and Liouville graph distance (joint with Ding and Zhang)
Zeitouni, O
Tuesday 10th July 2018  13:45 to 14:30
Wed, 11 Jul 2018 13:15:19 +0100
Isaac Newton Institute
Zeitouni, O
97011dd19628a461b390965ddd92096c
a800a4bfc3d2c81647ea7ff2c9cc7b25
722107873e322d1f31ada5d67a6dee25
3693510471ddc8850de3001883b3ea3f
Zeitouni, O
Tuesday 10th July 2018  13:45 to 14:30
Zeitouni, O
Tuesday 10th July 2018  13:45 to 14:30
Cambridge University
2927
http://sms.cam.ac.uk/media/2785961
On the Liouville heat kernel and Liouville graph distance (joint with Ding and Zhang)
Zeitouni, O
Tuesday 10th July 2018  13:45 to 14:30
20180711T13:15:19+01:00
2927
2785961
true
16x9
false
no

Percolation for levelsets of Gaussian free fields on metric graphs
ucs_sms_2784872_2785365
http://sms.cam.ac.uk/media/2785365
Percolation for levelsets of Gaussian free fields on metric graphs
Ding, J
Monday 9th July 2018  13:45 to 14:30
Tue, 10 Jul 2018 13:18:54 +0100
Isaac Newton Institute
Ding, J
b07be00ef41803b23d133cdad0e1a184
da164e05c8d326bbd5c93d19ac327cdd
6eead2174fed7040c9a434979a535341
66a69338ef53ef5f5ee8c38ed215d9af
Ding, J
Monday 9th July 2018  13:45 to 14:30
Ding, J
Monday 9th July 2018  13:45 to 14:30
Cambridge University
2754
http://sms.cam.ac.uk/media/2785365
Percolation for levelsets of Gaussian free fields on metric graphs
Ding, J
Monday 9th July 2018  13:45 to 14:30
In this talk, I will present a new result on the chemical distance for percolation of levelsets for Gaussian free fields on metric graphs in two dimensions. I will try to present a sketch of our proof, which is based on analyzing a certain exploration martingale. Time permitting, I will also discuss some other potential applications as well as related open problems. Based on joint work with Mateo Wirth.
20180710T13:18:54+01:00
2754
2785365
true
16x9
false
no

Phase transitions of Random Constraint Satisfaction Problems  1
ucs_sms_2784872_2789172
http://sms.cam.ac.uk/media/2789172
Phase transitions of Random Constraint Satisfaction Problems  1
Sly, A
Monday 16th July 2018  11:15 to 12:15
Tue, 17 Jul 2018 09:03:32 +0100
Isaac Newton Institute
Sly, A
46b7bfa5a755dac8b6ede11d85aeb1e8
fd330e3d2501f64d7339bf36fca04f48
8c44ed17628ec316aad345b63b0ef5dc
Sly, A
Monday 16th July 2018  11:15 to 12:15
Sly, A
Monday 16th July 2018  11:15 to 12:15
Cambridge University
3520
http://sms.cam.ac.uk/media/2789172
Phase transitions of Random Constraint Satisfaction Problems  1
Sly, A
Monday 16th July 2018  11:15 to 12:15
Random constraint satisfaction problems encode many interesting questions in the study of random graphs such as the chromatic and independence numbers. Ideas from statistical physics provide a detailed description of phase transitions and properties of these models. We will discuss the one step replica symmetry breaking transition that many such models undergo and the Satisfiability Threshold for the random KSAT model.
20180717T09:03:32+01:00
3520
2789172
true
16x9
false
no

Phase transitions of Random Constraint Satisfaction Problems  2
ucs_sms_2784872_2789462
http://sms.cam.ac.uk/media/2789462
Phase transitions of Random Constraint Satisfaction Problems  2
Sly, A
Tuesday 17th July 2018  10:00 to 11:00
Tue, 17 Jul 2018 16:23:32 +0100
Isaac Newton Institute
Sly, A
bd6d2788c5b5d6e3a018612ff17a3fbf
ee65f4720d7289fae2b5f57838abfe8c
47faf35c04cf2f2baf5430d86d92b85e
Sly, A
Tuesday 17th July 2018  10:00 to 11:00
Sly, A
Tuesday 17th July 2018  10:00 to 11:00
Cambridge University
3600
http://sms.cam.ac.uk/media/2789462
Phase transitions of Random Constraint Satisfaction Problems  2
Sly, A
Tuesday 17th July 2018  10:00 to 11:00
Random constraint satisfaction problems encode many interesting questions in the study of random graphs such as the chromatic and independence numbers. Ideas from statistical physics provide a detailed description of phase transitions and properties of these models. We will discuss the one step replica symmetry breaking transition that many such models undergo and the Satisfiability Threshold for the random KSAT model.
20180717T16:23:32+01:00
3600
2789462
true
16x9
false
no

Phase transitions of Random Constraint Satisfaction Problems  3
ucs_sms_2784872_2790036
http://sms.cam.ac.uk/media/2790036
Phase transitions of Random Constraint Satisfaction Problems  3
Sly, A
Wednesday 18th July 2018  11:15 to 12:15
Wed, 18 Jul 2018 14:01:45 +0100
Isaac Newton Institute
Sly, A
a1b5aab82a211671fd47c91392efeba4
fa51ab82cac88d1da0ea97775fee32fa
f6fa0d55e89ec657321541f54ebdb344
5e8b95483a555dce21217ad8319f2f83
Sly, A
Wednesday 18th July 2018  11:15 to 12:15
Sly, A
Wednesday 18th July 2018  11:15 to 12:15
Cambridge University
3840
http://sms.cam.ac.uk/media/2790036
Phase transitions of Random Constraint Satisfaction Problems  3
Sly, A
Wednesday 18th July 2018  11:15 to 12:15
Random constraint satisfaction problems encode many interesting questions in the study of random graphs such as the chromatic and independence numbers. Ideas from statistical physics provide a detailed description of phase transitions and properties of these models. We will discuss the one step replica symmetry breaking transition that many such models undergo and the Satisfiability Threshold for the random KSAT model.
20180718T14:01:45+01:00
3840
2790036
true
16x9
false
no

Quantum Liouville Theory
ucs_sms_2784872_2786049
http://sms.cam.ac.uk/media/2786049
Quantum Liouville Theory
Kupiainen, A
Wednesday 11th July 2018  11:15 to 12:15
Wed, 11 Jul 2018 14:13:38 +0100
Isaac Newton Institute
Kupiainen, A
4ad2ce980d4a00c8304bf9ce48104ab4
725781ef83527faf4d3d32b98649c85b
0e614ca16843dfa6b5f9eb630a0da433
ddf2f604a5bff34300a00d8f92ae2a9b
Kupiainen, A
Wednesday 11th July 2018  11:15 to 12:15
Kupiainen, A
Wednesday 11th July 2018  11:15 to 12:15
Cambridge University
3354
http://sms.cam.ac.uk/media/2786049
Quantum Liouville Theory
Kupiainen, A
Wednesday 11th July 2018  11:15 to 12:15
I will discuss prospects for deriving quantum theory (Virasoro representations, spectrum and bootstrap) from the probabilistic formulation of Liouville conformal field theory.
20180711T14:13:38+01:00
3354
2786049
true
16x9
false
no

Random stable maps : geometry and percolation
ucs_sms_2784872_2792265
http://sms.cam.ac.uk/media/2792265
Random stable maps : geometry and percolation
Curien, N
Friday 20th July 2018  10:00 to 11:00
Fri, 20 Jul 2018 15:45:36 +0100
Isaac Newton Institute
Curien, N
2f919092054d3a5e6f6d66186a003365
54225fcfab92f45f172cc0077419a103
0085a707c084f9a971b7c79059dce8e7
b568d5acc9fa6cd4d981fcfe1263d6a4
Curien, N
Friday 20th July 2018  10:00 to 11:00
Curien, N
Friday 20th July 2018  10:00 to 11:00
Cambridge University
3840
http://sms.cam.ac.uk/media/2792265
Random stable maps : geometry and percolation
Curien, N
Friday 20th July 2018  10:00 to 11:00
Random stable maps are discrete random Boltzmann maps with large faces that are conjecturally linked to the CLE. We review some recent results on the geometry of such graphs and their duals, and on the behavior of Bernoulli percolations on these objects. The phenomenons that appear are the analogs of those we encoutered (or conjectured) for the Euclidean CLE. In particular, the critical bond percolation process creates a duality between the dense and dilute phase of random stable maps. The talk is based on joint works with Timothy Budd, Cyril Marzouk and Loïc Richier.
20180720T15:45:36+01:00
3840
2792265
true
16x9
false
no

Random walk on random planar maps I
ucs_sms_2784872_2785358
http://sms.cam.ac.uk/media/2785358
Random walk on random planar maps I
Miller, J
Monday 9th July 2018  11:15 to 12:15
Tue, 10 Jul 2018 13:19:43 +0100
Isaac Newton Institute
Miller, J
c8f286f16f0fac71938900e34cd7a2c2
79b1c580828c50bf053f4acdf0cfdf0e
68c1d8dc17f27618fd55cd77cfa5704a
03eb029291da28e472223daff6c325d8
Miller, J
Monday 9th July 2018  11:15 to 12:15
Miller, J
Monday 9th July 2018  11:15 to 12:15
Cambridge University
3161
http://sms.cam.ac.uk/media/2785358
Random walk on random planar maps I
Miller, J
Monday 9th July 2018  11:15 to 12:15
We will describe some recent developments on the study of random walks on random planar maps. We first review the continuum constructions from Liouville quantum gravity as a mating of trees. We will then explain how one can analyze the behavior of random walk on the matedCRT map, a random planar map model defined out of the continuum treemating constructions. Finally, we will explain how these results can be transferred to a wide variety of discrete random planar map models. This is based on joint works with Bertrand Duplantier, Ewain Gwynne, and Scott Sheffield.
20180710T13:19:43+01:00
3161
2785358
true
16x9
false
no

Random walk on random planar maps II
ucs_sms_2784872_2786042
http://sms.cam.ac.uk/media/2786042
Random walk on random planar maps II
Miller, J
Wednesday 11th July 2018  10:00 to 11:00
Wed, 11 Jul 2018 14:13:35 +0100
Isaac Newton Institute
Miller, J
81efd289b0b946baa1153ed139b1dd41
65dd1e06f54b9b580591f7c720574291
83f17bb241a4faff6e93daf55a222b0e
188c5dbb4bc19f5d0a3cec1712332342
Miller, J
Wednesday 11th July 2018  10:00 to 11:00
Miller, J
Wednesday 11th July 2018  10:00 to 11:00
Cambridge University
3720
http://sms.cam.ac.uk/media/2786042
Random walk on random planar maps II
Miller, J
Wednesday 11th July 2018  10:00 to 11:00
We will describe some recent developments on the study of random walks on random planar maps. We first review the continuum constructions from Liouville quantum gravity as a mating of trees. We will then explain how one can analyze the behavior of random walk on the matedCRT map, a random planar map model defined out of the continuum treemating constructions. Finally, we will explain how these results can be transferred to a wide variety of discrete random planar map models. This is based on joint works with Bertrand Duplantier, Ewain Gwynne, and Scott Sheffield.
20180711T14:13:36+01:00
3720
2786042
true
16x9
false
no

Random walk on random planar maps III
ucs_sms_2784872_2788589
http://sms.cam.ac.uk/media/2788589
Random walk on random planar maps III
Miller, J
Friday 13th July 2018  11:15 to 12:15
Mon, 16 Jul 2018 08:51:45 +0100
Isaac Newton Institute
Miller, J
b2f72a71aa160e65cd9d00a593a41382
de22aae435fe9d7142c307f202734ba3
1822a6e71e8f9952a05ecff0ed73d4f7
d40f172dd2d489259f70201da136a6a1
Miller, J
Friday 13th July 2018  11:15 to 12:15
Miller, J
Friday 13th July 2018  11:15 to 12:15
Cambridge University
3720
http://sms.cam.ac.uk/media/2788589
Random walk on random planar maps III
Miller, J
Friday 13th July 2018  11:15 to 12:15
We will describe some recent developments on the study of random walks on random planar maps. We first review the continuum constructions from Liouville quantum gravity as a mating of trees. We will then explain how one can analyze the behavior of random walk on the matedCRT map, a random planar map model defined out of the continuum treemating constructions. Finally, we will explain how these results can be transferred to a wide variety of discrete random planar map models. This is based on joint works with Bertrand Duplantier, Ewain Gwynne, and Scott Sheffield.
20180716T08:51:45+01:00
3720
2788589
true
16x9
false
no

Simple random walk on supercritical causal maps
ucs_sms_2784872_2789186
http://sms.cam.ac.uk/media/2789186
Simple random walk on supercritical causal maps
Budzinski, T
Monday 16th July 2018  14:35 to 14:55
Tue, 17 Jul 2018 09:02:54 +0100
Isaac Newton Institute
Budzinski, T
3860d3514b65e3ec242498c41799c248
6fffe2ebf80b82255f02aa75b41eb1c9
d5a18ce34a48d7998935dd25612af57c
e37d91f65bca3de6e0947f6c3cabdd56
Budzinski, T
Monday 16th July 2018  14:35 to 14:55
Budzinski, T
Monday 16th July 2018  14:35 to 14:55
Cambridge University
1436
http://sms.cam.ac.uk/media/2789186
Simple random walk on supercritical causal maps
Budzinski, T
Monday 16th July 2018  14:35 to 14:55
We study the simple random walk on supercritical causal maps, obtained from a supercritical GaltonWatson tree by adding at each level a cycle joining neighbour vertices. In particular, we will prove that, if
the underlying tree has no leaf, the simple random walk has almost sure positive speed.
20180717T09:02:55+01:00
1436
2789186
true
16x9
false
no

Stochastic Ricci Flow
ucs_sms_2784872_2786734
http://sms.cam.ac.uk/media/2786734
Stochastic Ricci Flow
Dubedat, J
Thursday 12th July 2018  13:45 to 14:30
Thu, 12 Jul 2018 16:47:41 +0100
Isaac Newton Institute
Dubedat, J
5eeaed8a1b007f3c589181dc9b2f5ab2
9ffa4c7a0d4ab8bef5dd637ee250c9c2
82e50c1a44fe992a5bfc2e9c1b694adf
36280dde14eb3f167fecca78659971ba
Dubedat, J
Thursday 12th July 2018  13:45 to 14:30
Dubedat, J
Thursday 12th July 2018  13:45 to 14:30
Cambridge University
3047
http://sms.cam.ac.uk/media/2786734
Stochastic Ricci Flow
Dubedat, J
Thursday 12th July 2018  13:45 to 14:30
The Ricci Flow on surfaces evolves the Riemannian metric to the constant curvature metric in the same conformal class. It has a natural interpretation as an infinite dimensional gradient flow. We describe the corresponding Langevin dynamics and its relation to Liouville theory. Joint work with Hao Shen.
20180712T16:47:41+01:00
3047
2786734
true
16x9
false
no

The fractal dimension of Liouville quantum gravity: monotonicity, universality, and bounds
ucs_sms_2784872_2792033
http://sms.cam.ac.uk/media/2792033
The fractal dimension of Liouville quantum gravity: monotonicity, universality, and bounds
Gwynne, E
Thursday 19th July 2018  13:45 to 14:30
Fri, 20 Jul 2018 09:17:40 +0100
Isaac Newton Institute
Gwynne, E
db1ff87c7863775ed06b671847ca3e68
c307daabee378dd70116e64f6a7699b7
472852335834853b4b4108be6f5e9320
15fefc6012bae1240ded1fc166d1311e
Gwynne, E
Thursday 19th July 2018  13:45 to 14:30
Gwynne, E
Thursday 19th July 2018  13:45 to 14:30
Cambridge University
3050
http://sms.cam.ac.uk/media/2792033
The fractal dimension of Liouville quantum gravity: monotonicity, universality, and bounds
Gwynne, E
Thursday 19th July 2018  13:45 to 14:30
We show that for each γ∈(0,2)γ∈(0,2), there is an exponent dγ>2dγ>2, the ``fractal dimension of γγLiouville quantum gravity (LQG)", which describes the ball volume growth exponent for certain random planar maps in the γγLQG universality class, the graphdistance displacement exponent for random walk on these random planar maps, the exponent for the Liouville heat kernel, and exponents for various continuum approximations of γγLQG distances such as Liouville graph distance and Liouville first passage percolation. This builds on work of DingZeitouniZhang (2018). We also show that dγdγ is a continuous, strictly increasing function of γγ and prove upper and lower bounds for dγdγ which in some cases greatly improve on previously known bounds for the aforementioned exponents. For example, for γ=2–√γ=2 (which corresponds to spanningtree weighted planar maps) our bounds give 3.4641≤d2√≤3.632993.4641≤d2≤3.63299 and in the limiting case we get 4.77485≤limγ→2−dγ≤4.898984.77485≤limγ→2−dγ≤4.89898. Based on joint works with Jian Ding, Nina Holden, Tom Hutchcroft, Jason Miller, and Xin Sun.
20180720T09:17:40+01:00
3050
2792033
true
16x9
false
no

The phase transition for Boolean percolation
ucs_sms_2784872_2785372
http://sms.cam.ac.uk/media/2785372
The phase transition for Boolean percolation
Tassion, V
Monday 9th July 2018  14:35 to 15:20
Tue, 10 Jul 2018 13:23:21 +0100
Isaac Newton Institute
Tassion, V
cc25f343161daf460d6f62fd981da218
b545653ad9045e0697d74dea1d0bc5b6
9600894d1c8ee3985535ed45a03c5262
af290a74b1b1c2c38ac015230913cb81
Tassion, V
Monday 9th July 2018  14:35 to 15:20
Tassion, V
Monday 9th July 2018  14:35 to 15:20
Cambridge University
2908
http://sms.cam.ac.uk/media/2785372
The phase transition for Boolean percolation
Tassion, V
Monday 9th July 2018  14:35 to 15:20
We consider Boolean percolation in dimension d. Around every point of a Poisson point process of intensity lambda, draw a ball of random radius, independently for different points. We investigate the connection probabilities in the subcritical regime and use the randomized algorithm method to prove that the phase transition in lambda is sharp. Interestingly, for this process, sharpness of the phase transition does not imply exponential decay of connection probabilities in the subcritical regime, and its meaning depends on the law of the radii. In this talk, we will focus on this specific feature of Boolean percolation. This talk is based on a joint work with H. DuminilCopin and A. Raoufi.
20180710T13:23:22+01:00
2908
2785372
true
16x9
false
no

The semiclassical limit of Liouville conformal field theory
ucs_sms_2784872_2792019
http://sms.cam.ac.uk/media/2792019
The semiclassical limit of Liouville conformal field theory
Vargas, V
Thursday 19th July 2018  10:00 to 11:00
Fri, 20 Jul 2018 09:15:56 +0100
Isaac Newton Institute
Vargas, V
e06a68dc640f445c1e622adc0963b77e
c537b0c81b8cb2b7f0a499652426c1b6
d1917914b75f2869ee8aa0be64436079
a644a426b4d044fcd4e787d8f3a23505
Vargas, V
Thursday 19th July 2018  10:00 to 11:00
Vargas, V
Thursday 19th July 2018  10:00 to 11:00
Cambridge University
3238
http://sms.cam.ac.uk/media/2792019
The semiclassical limit of Liouville conformal field theory
Vargas, V
Thursday 19th July 2018  10:00 to 11:00
20180720T09:15:57+01:00
3238
2792019
true
16x9
false
no

The ZDirac and massive Laplacian operators in the Zinvariant Ising model
ucs_sms_2784872_2792026
http://sms.cam.ac.uk/media/2792026
The ZDirac and massive Laplacian operators in the Zinvariant Ising model
Tiliere, B
Thursday 19th July 2018  11:15 to 12:15
Fri, 20 Jul 2018 09:20:09 +0100
Isaac Newton Institute
Tiliere, B
17e694c3ba8491612d59057d0d0b8da2
8876a1a628711cdd3d5300c46072d280
35389788bb2a3a428459bae62aa79a9e
7b82bfd4b6d6c90fe0c1cf24338ca13f
Tiliere, B
Thursday 19th July 2018  11:15 to 12:15
Tiliere, B
Thursday 19th July 2018  11:15 to 12:15
Cambridge University
3900
http://sms.cam.ac.uk/media/2792026
The ZDirac and massive Laplacian operators in the Zinvariant Ising model
Tiliere, B
Thursday 19th July 2018  11:15 to 12:15
20180720T09:20:09+01:00
3900
2792026
true
16x9
false
no

Thick Points of Random Walk and the Gaussian Free Field
ucs_sms_2784872_2790022
http://sms.cam.ac.uk/media/2790022
Thick Points of Random Walk and the Gaussian Free Field
Jego, A
Wednesday 18th July 2018  09:35 to 09:55
Wed, 18 Jul 2018 13:49:35 +0100
Isaac Newton Institute
Jego, A
74f8933fafb57d70d6451245ba5b526b
83ca0f5747a041178dd2ddad9228de35
82255e7f8e4e59893bdc3d23afe17d78
Jego, A
Wednesday 18th July 2018  09:35 to 09:55
Jego, A
Wednesday 18th July 2018  09:35 to 09:55
Cambridge University
1437
http://sms.cam.ac.uk/media/2790022
Thick Points of Random Walk and the Gaussian Free Field
Jego, A
Wednesday 18th July 2018  09:35 to 09:55
We consider the thick points of random walk, i.e. points where the local time is a fraction of the maximum. In two dimensions, we answer a question of Dembo, Peres, Rosen and Zeitouni and compute the number of thick points of planar random walk, assuming that the increments are symmetric and have a finite moment of order two. The proof provides a streamlined argument based on the connection to the Gaussian free field and works in a very general setting including isoradial graphs. In higher dimensions, we show that the number of thick points converges to a nondegenerate random variable and that the maximum of the local times converges to a randomly shifted Gumbel distribution.
20180718T13:49:36+01:00
1437
2790022
true
16x9
false
no

Towards quantum Kähler geometry
ucs_sms_2784872_2792359
http://sms.cam.ac.uk/media/2792359
Towards quantum Kähler geometry
Rhodes, R
Friday 20th July 2018  11:15 to 12:15
Fri, 20 Jul 2018 17:03:06 +0100
Isaac Newton Institute
Rhodes, R
3f03f423253d341cca332416faeec6c8
f50abd1a8e0df78ebe55662cfbb5c71b
49d8050794c9ee9e7861a77fcf4cd121
09de8b961b3c58eabfbffeee821239e2
Rhodes, R
Friday 20th July 2018  11:15 to 12:15
Rhodes, R
Friday 20th July 2018  11:15 to 12:15
Cambridge University
3840
http://sms.cam.ac.uk/media/2792359
Towards quantum Kähler geometry
Rhodes, R
Friday 20th July 2018  11:15 to 12:15
We propose a natural framework for probabilistic Kähler geometry on a onedimensional complex manifold based on a path integral involving the Liouville action and the Mabuchi Kenergy. Both functionals play an important role respectively in Riemannian geometry (in the case of surfaces) and Kähler geometry. The Weyl anomaly of this path integral, which encodes the way it reacts to changes of background geometry, displays the standard Liouville anomaly plus an additional Kenergy term. Motivations come from theoretical physics where these type of path integrals arise as a model for fluctuating metrics on surfaces when coupling (small) massive perturbations of conformal field theories to quantum gravity as advocated by A. Bilal, F. Ferrari, S. Klevtsov and S. Zelditch in a series of physics papers. Interestingly, our computations show that quantum corrections perturb the classical Mabuchi Kenergy and produce a quantum Mabuchi Kenergy: this type of correction is reminiscent of the quantum Liouville theory. Our construction is probabilistic and relies on a variant of Gaussian multiplicative chaos (GMC), the Derivative GMC (DGMC for short). The technical backbone of our construction consists in two estimates on (derivative and standard) GMC which are of independent interest in probability theory. Firstly, we show that these DGMC random variables possess negative exponential moments and secondly we derive optimal small deviations estimates for the GMC associated with a recentered Gaussian Free Field.
20180720T17:03:06+01:00
3840
2792359
true
16x9
false
no

Uniqueness of the welding problem for SLE and LQG
ucs_sms_2784872_2785977
http://sms.cam.ac.uk/media/2785977
Uniqueness of the welding problem for SLE and LQG
Qian, W
Tuesday 10th July 2018  14:35 to 15:20
Wed, 11 Jul 2018 13:12:28 +0100
Isaac Newton Institute
Qian, W
e9df93798e834d6f29c513ac23f8f36b
4c8d6d99faf2bb2d82c11bfa2503e24d
8bd37607ca4a73d301e9a36c055b5d03
abb0c69bda40bbd4aa28f53bd576eb14
Qian, W
Tuesday 10th July 2018  14:35 to 15:20
Qian, W
Tuesday 10th July 2018  14:35 to 15:20
Cambridge University
2194
http://sms.cam.ac.uk/media/2785977
Uniqueness of the welding problem for SLE and LQG
Qian, W
Tuesday 10th July 2018  14:35 to 15:20
Fix κ∈(0,8)κ∈(0,8) and suppose that ηη is an SLEκκ curve in HH from 00 to ∞∞. We show that if φ:H→Hφ:H→H is a homeomorphism which is conformal on H∖ηH∖η and φ(η)φ(η), ηη are equal in distribution then φφ is a conformal automorphism of HH. Applying this result for κ=4κ=4 establishes that the welding operation for critical (γ=2γ=2) Liouville quantum gravity (LQG) is welldefined. Applying it for κ∈(4,8)κ∈(4,8) gives a new proof that the welding of two looptrees of quantum disks to produce an SLEκκ on top of an independent 4/κ−−√4/κLQG surface is welldefined. These results are special cases of a more general uniqueness result which applies to any nonspacefilling SLEtype curve (e.g., the exotic SLEβκ(ρ)κβ(ρ) processes). This is a joint work with Oliver McEnteggart and Jason Miller.
20180711T13:12:29+01:00
2194
2785977
true
16x9
false
no

Yaglomtype limit theorems for branching Brownian motion with absorption
ucs_sms_2784872_2788605
http://sms.cam.ac.uk/media/2788605
Yaglomtype limit theorems for branching Brownian motion with absorption
Schweinsberg, J
Friday 13th July 2018  14:35 to 15:20
Mon, 16 Jul 2018 08:49:00 +0100
Isaac Newton Institute
Schweinsberg, J
62375a5ce703e232e51fe40fd79da1c3
4979678db12cc6a683ffe88d3d53ad2b
f52d971aec45f77fb86ec9297ff8ab60
8d8c6291d029caba97f53f8ea6a6f5d6
Schweinsberg, J
Friday 13th July 2018  14:35 to 15:20
Schweinsberg, J
Friday 13th July 2018  14:35 to 15:20
Cambridge University
2664
http://sms.cam.ac.uk/media/2788605
Yaglomtype limit theorems for branching Brownian motion with absorption
Schweinsberg, J
Friday 13th July 2018  14:35 to 15:20
We consider onedimensional branching Brownian motion in which particles are absorbed at the origin. We assume that when a particle branches, the offspring distribution is supercritical, but the particles are given a critical drift towards the origin so that the process eventually goes extinct with probability one. We establish precise asymptotics for the probability that the process survives for a large time t, improving upon a result of Kesten (1978) and Berestycki, Berestycki, and Schweinsberg (2014). We also prove a Yaglomtype limit theorem for the behavior of the process conditioned to survive for an unusually long time, which also improves upon results of Kesten (1978). An important tool in the proofs of these results is the convergence of branching Brownian motion with absorption to a continuous state branching process.
20180716T08:49:00+01:00
2664
2788605
true
16x9
false
no
2784872