学术报告

中国科学技术大学 邵松教授 Recent progress on topological sequence entropy

报告人: 邵松教授(中国科学技术大学)

时间与地点:2017-07-08 7月8日(星期六)上午10:20, 数学实验室

报告摘要: 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, 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.