Speaker：Changguang Dong (Chern Institute of Mathematics)

Time：2023-6-6, 15:30

Location：Conference Room 110 at Experiment Building at Haiyun Campus

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 can also have non-standard limit theorems for partially hyperbolic systems. This is based on joint works with Dolgopyat-Kanigowski-Nandori.