Tencent Conference: 464-146-395

Password: 221028

Abstract: Ollivier introduced a curvature notion on graphs via the optimal transport, which is a discrete analog of the Ricci curvature on manifolds. Analytic properties of discrete harmonic functions are closely related to the Ollivier curvature. We prove that the number of ends is at most two for an infinite graph with nonnegative Ollivier curvature. This is joint work with Florentin Muench.