Abstract: The directed landscape is the central object in the Kardar-Parisi-Zhang universality class, and is conjecturally the scaling limit for…
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…
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…
Abstract: The disordered ferromagnet is a disordered version of the ferromagnetic Ising model in which the coupling constants are quenched…