Abstract: We consider the standard model of i.i.d. first passage percolation on given a distribution on ( is allowed). When…
Abstract: We study level-set percolation of the discrete Gaussian free field on the Euclidean lattice in three and more dimensions,…
Abstract: Consider planar Bernoulli percolation. In 1999, Benjamini, Kalai and Schramm proved that this model is noise sensitive in a…
Abstract: A uniform spanning tree of can be thought of as the ‘‘uniform measure’’ on trees of . The past…
Abstract: In this talk, we prove that the random-cluster model on the square lattice with cluster-weight exhibits rotational invariance at…
Abstract: In 1975, Imry and Ma argued that in the presence of a random field, the two-dimensional Ising model does…
Abstract: In the beginning of the XXth century, Ornstein and Zernike predicted the sharp behaviour of the two-point function in…
Abstract: This talk will focus on the behaviour of statistical physics models on a book with pages isomorphic to half-planes.…
Abstract: In the usual Bernoulli site percolation on the lattice, each site is independently removed with probability .For the Bernoulli…
Abstract: The spin model is an important statistical mechanics model whose spins are vectors taking value in a dimensional sphere.…