Speaker: Tian xueting（Professor, Fudan University）

Title: Searching New Phenomenon in Uniformly Hyperbolic Systems

Abstract: One main goal in the study of Dynamical Systems is concerned with orbit structure, specifically long term or asymptotic behavior, for maps or flows. Uniformly Hyperbolic systems (such as Smale horseshoe and Anosov flow) are standard examples of complex or chaotic systems. Nowadays it is usual aiming to generalize the theory of uniform hyperbolicity to more general dynamics including nonuniform hyperbolicity and partial hyperbolicity. But in this talk we will revisit uniform hyperbolicity to introduce some new progress on searching the theory for uniformly hyperbolic systems, especially some collision phenomenon from topological perspective and probabilistic perspective including how one general orbit will go, how many types by classification and how about their dynamical complexity.

Time: 10:00Am, 10/11/2020

Location: Tencent meeting ID：996 429 974