Abstract: We consider the effect of an external magnetic field on the scaling limit of the Ising model at the…
Abstract: This talk is concerned with the geometry of the (wired) Uniform Spanning Tree (UST) on an infinite graph, and…
Abstract: We provide a new proof of the near-critical scaling relation for Bernoulli percolation on the square lattice already proved…
Abstract: We consider percolation on at and near the critical point in high dimensions ( for spread-out models or for…
Abstract: The so-called stick percolation model was introduced by Roy in 1991. In its most basic form, the sticks are…
Abstract: The Gaussian free field (GFF) is expected to be the universal scaling limit of a host of random surface…
Abstract: An upper bound for the critical probability of long range bond percolation in and is obtained by connecting the…
pc in range-R bond percolation in two and three dimensions">Continue Reading →
Abstract: In this talk I will present a new and simple proof for the classic results of Imbrie (1985) and…
Abstract: The goal of this talk is to study the two-point function (i.e. point-to-point connection probabilities) in the subcritical infinite-range…
Abstract: This talk is about the following question: Let be a smooth (stationary, centered) Gaussian field on and let be…