Abstract: In this talk, I will consider the interface separating and spins in the critical planar Ising model with Dobrushin…
Abstract: I will discuss the number of infinite clusters in the Bernoulli bond percolation of a finitely generated Cayley graph…
Abstract: We study percolation of two-sided level sets for the discrete Gaussian free field (DGFF) in dimension two. For a…
Abstract: We solved the longstanding density conjecture for activated random walk by proving that several variants have the same critical…
Abstract: In Catalan percolation, one declares the edges for \emph{occupied} and each edge with \emph{open} independently with probability . For…