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Previous Talks

March 30, 2021

T. Hutchcroft: Power-law bounds for long-range percolation on Euclidean and hierarchical lattices

Abstract: I will discuss two sets of related results concerning critical long-range percolation on Euclidean and hierarchical lattices. For…
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March 30, 2021
March 23, 2021

D. Ahlberg and D. De La Riva: On the rate of convergence in quenched Voronoi percolation

Abstract: In 1999, Benjamini, Kalai and Schramm introduced the concept of noise sensitivity of a Boolean function, and outlined…
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March 23, 2021
March 16, 2021

V. Dewan & S. Muirhead: Upper bounds on the one-arm exponent in dependent percolation models

Abstract: We prove upper bound bounds on the one-arm exponent for dependent percolation models; while our main interest is…
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March 16, 2021
March 9, 2021

P.-F. Rodriguez & A. Prévost: Critical exponents for a percolation model on transient graphs

Abstract: We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the…
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March 9, 2021
March 2, 2021

D. Dereudre: Fully-connected bond percolation on \mbox{\huge{\mathbb{Z}^d}}

Abstract: We consider the bond percolation model on the lattice () with the constraint to be fully connected. Each…
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March 2, 2021
February 23, 2021

P. Duncan & B. Schweinhart: Plaquette Percolation on the Torus

Abstract: We study plaquette percolation on a -dimensional torus defined by identifying opposite faces of the cube , and…
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February 23, 2021
February 16, 2021

A. Sly & L. Zhang: Factor of IID for the Ising model on the tree

Abstract: It is known that there are factors of IID for the free Ising model on the -regular tree…
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February 16, 2021
February 9, 2021

B. Dembin: The time constant for Bernoulli percolation is Lipschitz continuous strictly above \mbox{\huge{p_c}}

Abstract: We consider the standard model of i.i.d. first passage percolation on given a distribution on ( is allowed).…
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February 9, 2021
February 2, 2021

A. Chiarini & M. Nitzschner: Disconnection and entropic repulsion for the harmonic crystal with random conductances

Abstract: We study level-set percolation of the discrete Gaussian free field on the Euclidean lattice in three and more…
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February 2, 2021
January 26, 2021

H. Vanneuville & V .Tassion: Noise sensitivity of percolation via differential inequalities

Abstract: Consider planar Bernoulli percolation. In 1999, Benjamini, Kalai and Schramm proved that this model is noise sensitive in…
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January 26, 2021
January 12, 2021

P. Sousi: The Uniform Spanning Tree in 4 dimensions

Abstract: A uniform spanning tree of can be thought of as the ‘‘uniform measure’’ on trees of . The…
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January 12, 2021
December 15, 2020

H. Duminil-Copin & M. Oulamara: Rotational invariance of the planar random-cluster model

Abstract: In this talk, we prove that the random-cluster model on the square lattice with cluster-weight exhibits rotational invariance…
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December 15, 2020
December 1, 2020

M. Wirth: Correlation length of the two dimensional random field Ising model

Abstract: In 1975, Imry and Ma argued that in the presence of a random field, the two-dimensional Ising model…
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December 1, 2020
November 17, 2020

S. Ott: Progresses towards a general fluctuation theory for long clusters in high-temperature percolation models

Abstract: In the beginning of the XXth century, Ornstein and Zernike predicted the sharp behaviour of the two-point function…
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November 17, 2020
November 3, 2020

C. Garban: Long-range order for critical Book-Ising and Book-percolation

Abstract: This talk will focus on the behaviour of statistical physics models on a book with pages isomorphic to…
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November 3, 2020
October 20, 2020

M. Hilario: Bernoulli hyperplane percolation

Abstract: In the usual Bernoulli site percolation on the lattice, each site is independently removed with probability .For the…
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October 20, 2020
October 6, 2020

B. Lees & L. Taggi: Exponential decay of correlations in spin and loop O(N) models

Abstract: The spin model is an important statistical mechanics model whose spins are vectors taking value in a dimensional…
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October 6, 2020
September 22, 2020

H. Duminil-Copin: Fractal properties of the critical random cluster model on \mbox{\LARGE{\mathds{Z}^2}}

Abstract: This talk will be studying the critical regime of the planar random-cluster model on with cluster-weight . More…
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September 22, 2020
July 7, 2020

G. Pete & Á. Timár: The Free Uniform Spanning Forest is disconnected in some virtually free groups, depending on the generating set

Abstract: The uniform measure on the set of all spanning trees of a finite graph is a classical object…
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July 7, 2020
June 30, 2020

A. Járai & D. Mata López: Electrical resistance of the Branching Random Walk trace in low-dimensions and in dimension 6.

Abstract: We study the trace of the incipient infinite oriented branching random walk in when the dimension is .…
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June 30, 2020
June 23, 2020

T. Hutchcroft: Continuity of the Ising phase transition on nonamenable graphs

Abstract: I will prove that the Ising model on any nonamenable Cayley graph undergoes a continuous phase transition. I…
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June 23, 2020
June 16, 2020

L. Köhler-Schindler: Russo–Seymour–Welsh theory for FKG percolation

Abstract: We prove that the Russo–Seymour–Welsh theory is valid for any invariant bond percolation measure on satisfying the FKG…
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June 16, 2020
June 9, 2020

S. Ganguly & J. R. Lee: Chemical subdiffusivity of critical 2D percolation

Abstract: We show that random walk on the incipient infinite cluster (IIC) of two-dimensional critical percolation is subdiffusive in…
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June 9, 2020
June 2, 2020

T. Helmuth & R. Bauerschmidt: Random spanning forests and hyperbolic symmetry

Abstract: The arboreal gas is the probability measure that arises from conditioning the random subgraph given by Bernoulli() bond…
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June 2, 2020
May 26, 2020

Special talk: Sidoravicius’ contributions to percolation theory

Abstract: This is a special session in memory of Vladas Sidoravicius. There will be short contributions by colleagues and…
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May 26, 2020
May 19, 2020

R. Eldan: A stochastic approach to concentration inequalities for Boolean functions.

Abstract: We revisit several classical inequalities which relate the influences of a Boolean function to its variance – the…
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May 19, 2020
May 12, 2020

A. Georgakopoulos & C. Panagiotis: The percolation density \mbox{\huge{\theta(p)}} is analytic.

Abstract: We prove that for Bernoulli bond percolation on , the percolation density (defined as the probability of the…
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May 12, 2020
May 5, 2020

P.-F. Rodriguez & F. Severo: Coincidence of critical parameters for level-set percolation of the Gaussian free field

Abstract: We study the Gaussian free field on the Euclidean lattice in three and more dimensions and consider the…
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May 5, 2020
April 28, 2020

Ben Hansen: The critical probability for Voronoi percolation in the hyperbolic plane tends to 1/2

Abstract: In this talk, we consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on…
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April 28, 2020
April 21, 2020

H. Vanneuville & S. Muirhead: The phase transition for planar Gaussian percolation without FKG

Abstract: In this talk, we present techniques to study the phase transition of planar percolation models that do not…
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April 21, 2020
April 14, 2020

Ioan Manolescu: Scaling relations for 2D random cluster model

Abstract: In a celebrated work from 1987, Kesten proved that the critical exponents of 2D percolation, if existent, satisfy…
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April 14, 2020
April 7, 2020

Tom Hutchcroft: (Slightly) supercritical percolation on nonamenable graphs

Abstract: I will discuss recent work on the distribution of finite clusters in (slightly) supercritical percolation on nonamenable transitive…
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April 7, 2020