Abstract: We study the Gibbs measures for the Potts and FK-percolation models on the square lattice. In both cases, the…
Speakers: Trishen Gunaratnam: The Blume-Capel model Aernot van Enter: What is the order of the phase transition for one-dimensional long-range…
Abstract: We study an inhomogeneous version of long-range percolation known as scale-free percolation. Every vertex in is equipped with an…
Abstract: We discuss exponential decay of truncated correlation functions for the two dimensional Ising model in a magnetic field at…
Abstract: We consider Bernoulli percolation on transitive graphs of polynomial growth. In the subcritical regime (), it is well known…
Abstract: Level-set percolation of continuous Gaussian fields on has attracted a lot of attention in recent years. While great progress…
Abstract: Fröhlich and Spencer proved the existence of the Kosterlitz-Thouless phase transition in their landmark article in 1981. Amongst other…
Abstract: Consider Bernoulli first-passage percolation on the triangular lattice in which sites have and passage times with probability and ,…
Abstract: We prove that if is a sequence of finite, vertex-transitive graphs with bounded degrees and that is at least…
Abstract: We define a graph process based on a discrete branching process with deletions and mergers, which is inspired by…