理学院“格物论坛”学术报告（五十二）

 理学院“格物论坛”学术报告（五十二）

报告题目:    Global Dynamics Beyond Hyperbolicity

报告人：Keonhee Lee教授， 博士生导师

Department of Mathematics, Chungnam National University

Daejeon 305-764, Republic of Korea

 

时     间： 2017年10月31日(周二) 10:00 AM

地     点：理生楼多功能厅A513

摘要：

Hyperbolic dynamical systems are nowadays fairly well understood from the topological and ergodic point of view. In this talk, we discuss some recent and ongoing works on the dynamics beyond hyperbolicity. In the first part, we will provide a characterization of robustly shadowable chain transitive sets for C1-vector fields on compact smooth manifolds. In the second part, we extend the concepts of topological stability and pseudo-orbit tracing property from homeomorphisms to Borel measures, and prove that every expansive measure with the pseudo-orbit tracing property is topologically stable. This represents a measurable version of the stability theorem by Peter Walters. The first part is joint work with M. Reza and the second part is joint work with J. Yin and C. A. Morales.

报告人简介：

Professor Keonhee Lee’s research interests includes Hyperbolic Dynamics, Shadowing Theory, Measurable Dynamics and Topological Dynamics etc, and he is the Editor-in-Chief of Journal of the Korean Mathematical Society (SCIE). He has organized and co-organized many important international academic conferences like 2017 Pan Pacific International Conference on Topology and Applications, Seoul ICM 2014 Satellite Conference on Dynamical Systems, Hyderabad ICM 2010 Satellite Conference on Dynamical Systems, Asian Mathematical Conference 2013 etc. Up to now he has published at least 55 papers on famous international journalssuch as Proceedings of AMS,Dynamical Systems,Journal of Differential Equations, Discrete and Continuous Dynamical Systems, Journal of Mathematical Analysis and Applications, Topology and its Applications etc. Since 2000 he has awarded 9 research grant projects and now is working on Brain Korea 21 Plus Math Vision 2020 Project. Until now, he has supervised many Ph. D. Students.

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