June 15, 2021
Abstract: We discuss exponential decay of truncated correlation functions for the two dimensional Ising model in a magnetic field…
June 15, 2021
June 8, 2021
Abstract: We consider Bernoulli percolation on transitive graphs of polynomial growth. In the subcritical regime (), it is well…
June 8, 2021
June 1, 2021
Abstract: Level-set percolation of continuous Gaussian fields on has attracted a lot of attention in recent years. While great…
June 1, 2021
May 25, 2021
Abstract: Fröhlich and Spencer proved the existence of the Kosterlitz-Thouless phase transition in their landmark article in 1981. Amongst…
May 25, 2021
May 18, 2021
Abstract: Consider Bernoulli first-passage percolation on the triangular lattice in which sites have and passage times with probability and…
May 18, 2021
May 11, 2021
Abstract: We prove that if is a sequence of finite, vertex-transitive graphs with bounded degrees and that is at…
May 11, 2021
May 4, 2021
Abstract: We define a graph process based on a discrete branching process with deletions and mergers, which is inspired…
May 4, 2021
April 27, 2021
Abstract: We compute rigorously the scaling limit of multi-point energy correlations in the critical Ising model on a torus.…
April 27, 2021
April 13, 2021
Abstract: In the first half of the talk, we consider a generalised oriented site percolation process on (GOSP). We…
April 13, 2021
April 6, 2021
Abstract: Consider a large, finite, connected, transitive graph. In bond percolation, each edge is independently set to “open” with…
April 6, 2021
March 30, 2021
Abstract: I will discuss two sets of related results concerning critical long-range percolation on Euclidean and hierarchical lattices. For…
March 30, 2021
March 23, 2021
Abstract: In 1999, Benjamini, Kalai and Schramm introduced the concept of noise sensitivity of a Boolean function, and outlined…
March 23, 2021
March 16, 2021
Abstract: We prove upper bound bounds on the one-arm exponent for dependent percolation models; while our main interest is…
March 16, 2021
March 9, 2021
Abstract: We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the…
March 9, 2021
March 2, 2021
Abstract: We consider the bond percolation model on the lattice () with the constraint to be fully connected. Each…
March 2, 2021
February 23, 2021
Abstract: We study plaquette percolation on a -dimensional torus defined by identifying opposite faces of the cube , and…
February 23, 2021
February 16, 2021
Abstract: It is known that there are factors of IID for the free Ising model on the -regular tree…
February 16, 2021
February 9, 2021
Abstract: We consider the standard model of i.i.d. first passage percolation on given a distribution on ( is allowed).…
February 9, 2021
February 2, 2021
Abstract: We study level-set percolation of the discrete Gaussian free field on the Euclidean lattice in three and more…
February 2, 2021
January 26, 2021
Abstract: Consider planar Bernoulli percolation. In 1999, Benjamini, Kalai and Schramm proved that this model is noise sensitive in…
January 26, 2021
January 12, 2021
Abstract: A uniform spanning tree of can be thought of as the ‘‘uniform measure’’ on trees of . The…
January 12, 2021
December 15, 2020
Abstract: In this talk, we prove that the random-cluster model on the square lattice with cluster-weight exhibits rotational invariance…
December 15, 2020
December 1, 2020
Abstract: In 1975, Imry and Ma argued that in the presence of a random field, the two-dimensional Ising model…
December 1, 2020
November 17, 2020
Abstract: In the beginning of the XXth century, Ornstein and Zernike predicted the sharp behaviour of the two-point function…
November 17, 2020
November 3, 2020
Abstract: This talk will focus on the behaviour of statistical physics models on a book with pages isomorphic to…
November 3, 2020
October 20, 2020
Abstract: In the usual Bernoulli site percolation on the lattice, each site is independently removed with probability .For the…
October 20, 2020
October 6, 2020
Abstract: The spin model is an important statistical mechanics model whose spins are vectors taking value in a dimensional…
October 6, 2020
September 22, 2020
Abstract: This talk will be studying the critical regime of the planar random-cluster model on with cluster-weight . More…
September 22, 2020
July 7, 2020
Abstract: The uniform measure on the set of all spanning trees of a finite graph is a classical object…
July 7, 2020
June 30, 2020
Abstract: We study the trace of the incipient infinite oriented branching random walk in when the dimension is .…
June 30, 2020
June 23, 2020
Abstract: I will prove that the Ising model on any nonamenable Cayley graph undergoes a continuous phase transition. I…
June 23, 2020
June 16, 2020
Abstract: We prove that the Russo–Seymour–Welsh theory is valid for any invariant bond percolation measure on satisfying the FKG…
June 16, 2020
June 9, 2020
Abstract: We show that random walk on the incipient infinite cluster (IIC) of two-dimensional critical percolation is subdiffusive in…
June 9, 2020
June 2, 2020
Abstract: The arboreal gas is the probability measure that arises from conditioning the random subgraph given by Bernoulli() bond…
June 2, 2020
May 26, 2020
Abstract: This is a special session in memory of Vladas Sidoravicius. There will be short contributions by colleagues and…
May 26, 2020
May 19, 2020
Abstract: We revisit several classical inequalities which relate the influences of a Boolean function to its variance – the…
May 19, 2020
May 12, 2020
is analytic.
Abstract: We prove that for Bernoulli bond percolation on , the percolation density (defined as the probability of the…
May 12, 2020
May 5, 2020
Abstract: We study the Gaussian free field on the Euclidean lattice in three and more dimensions and consider the…
May 5, 2020
April 28, 2020
Abstract: In this talk, we consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on…
April 28, 2020
April 21, 2020
Abstract: In this talk, we present techniques to study the phase transition of planar percolation models that do not…
April 21, 2020
April 14, 2020
Abstract: In a celebrated work from 1987, Kesten proved that the critical exponents of 2D percolation, if existent, satisfy…
April 14, 2020
April 7, 2020
Abstract: I will discuss recent work on the distribution of finite clusters in (slightly) supercritical percolation on nonamenable transitive…
April 7, 2020