Abstract: We give a new construction of the incipient infinite cluster (IIC) associated with high-dimensional percolation in a broad setting…
Abstract: The model is a real-valued spin system with quartic potential. This model has deep connections with the classical Ising…
Abstract: In this double talk, we will start with an overview on random walks in dynamical random environments, outlining the…
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…