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邵松: Recent progress on topological sequence entropy

时间:2020-12-01来源:数学学院

报告时间:2020年12月3日(星期四)15:00

报告地点:翡翠科教楼B座1710室

邵松 教授

工作单位中国科学技术大学

举办单位:数学学院

报告简介

First we will recall some basic results about topological sequence entropy. Then we focus on the maximal pattern entropy h^*(T), which is defined as \sup_S h_S(T), S ranging over all subsequence of non-negative numbers. By Huang-Ye, h^*(T)\in \{log k: k\in N\}\cup \{\infty \}. Recently, Snoha, Ye and Zhang showed that for any subset B of \{log k: k\in N\}\cup \{\infty \} containing 0, one can find a space X such that B=\{h^*(T): T is a continuous selfmap of X \}. Huang, Lian, Shao and Ye showed that if h^*(T) is bounded, then it has very nice structure. To be precise, we showed that for a minimal system (X,T), if h^*(T) is finite, then it is an almost finite to one extension of its maximal equicontinuous factor, and it has only finitely many ergodic measures.

报告人简介

邵松,中国科学技术大学教授,博士生导师,长期从事拓扑动力系统与遍历理论的研究。主持多项国家自然科学基金,近年来在MAMS、Adv. Math、JDE、ETDS、TAMS等期刊上发表多篇论文

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