Title: Maximal flow from a compact convex subset to infinity in first passage percolation
Speaker: Barbara Dembin
Speaker Info: LPSM
Brief Description:
Special Note:
Abstract:
We consider the standard first passage percolation model on Z^d with a distribution G on R+ that admits an exponential moment. We study the maximal flow between a compact convex subset A of R^d and infinity. The study of maximal flow is associated with the study of sets of edges of minimal capacity that cut A from infinity. We prove that the rescaled maximal flow between nA and infinity ϕ(nA)/n^{d−1} almost surely converges toward a deterministic constant depending on A. This constant corresponds to the capacity of the boundary ∂A of A and is the integral of a deterministic function over ∂A.Date: Tuesday, July 14, 2020