报告标题：Topological Entropy of Iterated Set-Valued Dynamical Systems

报 告 人：罗晓芳 博士生（中山大学）

报告时间：2025年6月4日 10:00

报告地点：东海岸校区-D实209

报告摘要：This talk studies topological entropy and pseudo-entropy of iterated set-valued function systems. Firstly, the notions of topological entropy defined by separating and spanning sets and by open covers are introduced respectively, and they are proved equivalent, then a formula is obtained for the topological entropy of an iterated set-valued function system concerning the corresponding skew product system, and topological entropy of iterated set-valued function systems is a topological conjugacy invariant. Finally, the notions of pseudo-entropy of set-valued function systems and iterated set-valued function systems are introduced and it is proved that the pseudo-entropy is equal to the topological entropy of iterated set-valued function systems.

报告人简介：罗晓芳，中山大学数学专业博士研究生，主要研究方向是拓扑动力系统与遍历理论，在Qual. Theory Dyn.Syst.、Acta Math. Sin.,Engl. Ser.、Chaos, Soliton Fract. 期刊发表论文多篇。