## EVENT DETAILS AND ABSTRACT

**Probability Seminar**
**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

**Time:** 11:00AM

**Where:** https://northwestern.zoom.us/j/907400031

**Contact Person:** Julian Gold

**Contact email:** gold@math.northwestern.edu

**Contact Phone:**

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