走向现代数学学术报告 - 田学廷教授（No. 644）

报告题目：Dynamical behavior that are statistically trivial but topologically complicated

报告人：田学廷 教授 (复旦大学)

时间：2023年7月3日 9:30

腾讯会议ID：759650480

摘要：In this talk we will consider many different asymptotic behavior and show that they are usually statistically trivial but topologically complicated in various classes of chaotic systems. For example: (1) Lyapunov irregular points can carry full topological entropy and strong distributional chaos; (2) Points without SRB or SRB-like behavior can carry full topological entropy and strong distributional chaos; (3) Points with or without transitive behavior, recurrent behavior by using different frequency can form more than thirty different dynamical behavior, most of which are discovered to be statistically trivial but all carry strong topological complexity in the sense of full topological entropy and distributional chaos.

报告人简介：田学廷，现任复旦大学数学科学学院教授，博士生导师。主要研究动力系统的拓扑理论和遍历理论，已在Adv.Math.、Trans.AMS、Erg.Th.Dyn.Syst.等杂志上发表20余篇学术论文，受到包括一些Fields奖获得者和ICM报告人在内的专家学者的引用。