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…