Abstract: The threshold of an increasing property of a random set (or random graph) is the density at which a random…
Abstract: The Universality Conjecture of Bollobás, Duminil-Copin, Morris and Smith states that every d-dimensional monotone cellular automaton is a member…
Abstract: none ______________________ Based on arxiv.org/abs/2112.13390 Video
Abstract: In this talk, I will present a new proof of the sharpness of the phase transition for Random interlacements…
Abstract: In this talk, I will present a new proof of the sharpness of the phase transition for Bernoulli percolation,…
Abstract: Consider long-range Bernoulli percolation on in which we connect each pair of distinct points and by an edge with…
Abstract: The double random current (DRC) model is a natural percolation model whose geometric properties are intimately related to spin…
Abstract: We survey some recent results about lattice gauge theories with finite gauge groups. These include computation of observables and…
Abstract: We study the emergence of the giant component in the random cluster model on the complete graph, which was…
Abstract: The discrete Gaussian model is a random lattice field model imitating the Gaussian free field but restricted to taking…