Ollivier Curvature on Graphs and Discrete Harmonic Functions
发布时间:2022年10月26日
浏览次数:3060
发布者: Meng Yu
主讲人: Bobo Hua (Fudan University)
活动时间: 从 2022-10-27 15:00 到 17:00
场地: Online
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.