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Ricci curvature flow on weighted finite graphs and its application

组织者

白淑亮

演讲者

杨云雁

时间

2026年09月04日 15:00 至 16:00

地点

A3-4-101

线上

Zoom 293 812 9202 (BIMSA)

摘要

In this talk, we shall give a survey on Ricci curvature flow on weighted finite graphs, including existence, uniqueness and convergence of solutions to this flow. Also, we introduce other flows, say entropy flow, local entropy flow and cohesion flow. As applications, we mention community detection, finding core, and classification problem in complexity networks. Some of these results are based on my joint work with Ma Jicheng, Zhao Juan and Zhao Liang. Finally, we talk about equivalence of the Lin-Lu-Yau curvature and 1/2-Olliver curvature for arbitrary weighted graph. This is based on a recent observation of Liu Shiping and I.

演讲者介绍

杨云雁，中国人民大学教授，博士生导师，获教育部2008年度新世纪优秀人才支持计划，主要研究流形上的偏微分方程，图上的分析，目前已（合作）发表学术论文80余篇，部分发表在J. Functional Analysis, Calc. Var. PDE, J. Differential Equations等国际刊物.