题目：Entropy and combinatorial independence

报告人：李寒峰教授,  SUNY at Bufflo

摘要：Topological entropy is a numerical invariant for group actions on compact spaces. Whether the entropy is positive or not makes a fundamental difference for the dynamical behavior. When a group G acts on a compact space X, a subset H of G is called an independence set for a finite family W of subsets of X if for any finite subset M of H and any map f from M to W, there is a point x of X with sx in f(s) for all s in M. I will discuss how positivity of entropy can be described in terms of density of independence sets, and give a few applications including the relation between positive entropy and Li-Yorke chaos. The talk is based on various joint works with David Kerr and Zheng Rong.

时间：6月14日（周五）下午4:00--5:00

地点：首都师大新教2楼 808  教室

联系人:戎小春

欢迎全体师生积极参加！