Abstract: In Catalan percolation, one declares the edges for \emph{occupied} and each edge with \emph{open} independently with probability . For…
Abstract: The classical Peierls argument establishes that percolation on a graph G has a non-trivial (uniformly) percolating phase if G…
Abstract: Consider two configurations, C_1 and C_2, in Bernoulli bond percolation on a general graph G. Take the set S…
Abstract: Understanding the (near-)critical behavior of lattice models is one of the main challenges in statistical mechanics. A key approach…