Abstract: We revisit several classical inequalities which relate the influences of a Boolean function to its variance – the Kahn-Kalai-Linial…
is analytic.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…
Abstract: I will discuss recent work on the distribution of finite clusters in (slightly) supercritical percolation on nonamenable transitive graphs,…