Abstract: We prove that the Russo–Seymour–Welsh theory is valid for any invariant bond percolation measure on satisfying the FKG inequality.…
Abstract: We show that random walk on the incipient infinite cluster (IIC) of two-dimensional critical percolation is subdiffusive in the…
Abstract: The arboreal gas is the probability measure that arises from conditioning the random subgraph given by Bernoulli() bond percolation…
Abstract: This is a special session in memory of Vladas Sidoravicius. There will be short contributions by colleagues and friends…
Abstract: We revisit several classical inequalities which relate the influences of a Boolean function to its variance – the Kahn-Kalai-Linial…
Abstract: We prove that for Bernoulli bond percolation on , the percolation density (defined as the probability of the origin…
Abstract: We study the Gaussian free field on the Euclidean lattice in three and more dimensions and consider the percolation…
Abstract: In this talk, we consider percolation on the Voronoi tessellation generated by a homogeneous Poisson point process on the…
Abstract: In this talk, we present techniques to study the phase transition of planar percolation models that do not satisfy…
Abstract: In a celebrated work from 1987, Kesten proved that the critical exponents of 2D percolation, if existent, satisfy certain…