Prerequisite

basic knowledge of measure theory, functional analysis and Riemannian manifold

Abstract

Statistical properties of dynamical systems are always of high interest because they may eventually pave the way for the global understanding of chaotic systems. This course will introduce the notion of transfer operator and decay of correlations for symbolic dynamics, expanding maps and uniformly hyperbolic system. Then we will discuss central limit theorem, logarithm laws and other related topics if time permits.

Lecturer Intro.

刘思序于2019年获得北京大学博士学位，之后在清华大学任博士后，并于2022年加入BIMSA任助理研究员。主要研究方向为动力系统与遍历论，统计试验设计。