Limit theorems in dynamical systems

：董长光（陈省身数学研究所）
：2023-06-06 15:30
：海韵园实验楼110报告厅

报告人：董长光（陈省身数学研究所）

时  间：2023年6月6日15:30

地  点：海韵园实验楼110报告厅

内容摘要:

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.

个人简介：

董长光，陈省身数学研究所特聘研究员，研究方向为动力系统与光滑遍历论。在国际高水平期刊《Invent. Math.》、《Trans. of AMS》等发表若干篇学术论文。

 

联系人：吴伟胜