Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	董长光，南开大学
Inviter:
Title:	Limit theorems in dynamical systems
Language:	Chinese
Time & Venue:	2023.06.15 14:00-15:00 南楼N913
Abstract:	Limit theorems, such as Central limit theorem, reflect certain chaotic behavior of a dynamical system. We will survey some known results of limit theorems for various systems including Anosov diffeomorphisms. Then we will discuss some recent results for systems having zero Lyapunov exponents. For example, we have nontrivial central limit theorem for systems with zero topological entropy; we also have non-standard limit theorems for partially hyperbolic systems. This is based on joint works with Dolgopyat-Kanigowski-Nandori.