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学术报告:Research on recurrence, non-recurrence and multi-fractal analysis

发布时间:2018年04月12日 浏览次数:发布者:mathky

 

报告人:田学廷副教授

             复旦大学

报告题目:Research on recurrence, non-recurrence and multi-fractal analysis

报告时间:2018年4月21日下午16:00

报告地点:海韵数理楼661

报告摘要In the theory of dynamical systems, a fundamental problem is to study the asymptotic behavior of dynamical orbits. Lots of different asymptotic behavior have been learned including different periodic-like recurrence such periodic, almost periodic, weakly almost periodic, quasi-weakly almost periodic, Banach periodic etc. We we will talk some related results on these periodic-like recurrences.  As applications: for expanding or hyperbolic dynamical systems, we have proved more than ten different cases of nonrecurrence have dynamical complexity as strong as the dynamical system itself in the sense of topological entropy.

报告人简介:田学廷,复旦大学数学科学学院副教授,博士生导师。主要研究领域:动力系统与遍历论。独立或与他人合作在控制分解理论、非一致双曲理论、回复性理论与重分形理论等方向上获得系列成果,发表在Adv. Math.Trans. AMS.Erg. Th. Dyn. Sys.JDE等杂志上。

联系人:朱玉峻教授

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