Abstract: This talk will be studying the critical regime of the planar random-cluster model on with cluster-weight . More precisely,…
Abstract: The uniform measure on the set of all spanning trees of a finite graph is a classical object in…
Abstract: We study the trace of the incipient infinite oriented branching random walk in when the dimension is . Under…
Abstract: I will prove that the Ising model on any nonamenable Cayley graph undergoes a continuous phase transition. I will…
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…