Abstract: The vacant set of the random walk on the torus is known to undergo a percolation phase transition at…
Abstract: Around 2008, Schramm conjectured that the critical probability p_c of a transitive graph is entirely determined by the local…
Abstract: A dimer tiling of Z^d is a collection of edges such that every vertex is covered exactly once. In 2000,…
Abstract: The 2D Brownian loop soup is a Poisson point process of Brownian loops, with an intensity parameter theta>0. Sheffield…
Abstract: In the first half of the talk we will introduce the Berezinskii-Kosterlitz-Thouless phase transition as our motivation. We will…
Abstract: We consider supercritical bond percolation on Z^d and study the chemical distance, i.e., the graph distance on the infinite…
Abstract: The arboreal gas, alternatively known as the edge weighted unrooted spanning forest model, is equivalent to Bernoulli percolation conditioned…
Abstract: On the lattice Z^d the function x -> x_1 is harmonic. It also happens to be Lipschitz and integer-valued.…
Abstract: noneThe talk is based on https://arxiv.org/abs/2211.17023 ______________________ Video:
Abstract: While the analysis of mean-field spin glass models has seen tremendous progress in the last twenty years, lattice spin…