Record: Yes

Level: Graduate

Language: Chinese

Prerequisite

basic knowledge of measure theory, stochastic process, functional analysis and topology

Abstract

We will introduce basis knowledge of ergodic theory, and its  relationship with dynamical systems. This course includes topics on measure-preserving transformation, entropy and  topological entropy.

Reference

1. Peter Walters: An introduction to ergodic theory, Springer-Verlag, 1982.

2. Ricardo Mane: Ergodic theory and differentiable dynamics, Springer-Verlag, 1987.

3. 孙文祥:《遍历论》北京大学出版社, 2012.

Syllabus

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。

Lecturer Email: liusixu@mail.tsinghua.edu.cn

TA: Dr. Weili Zhang, zhangweili@bimsa.cn