An Introduction to Ergodic Theory
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.
Lecturer
Date
10th October ~ 26th December, 2022
Website
Prerequisite
basic knowledge of measure theory, stochastic process, functional analysis and topology
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.
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.
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
Chinese
Lecturer Intro
Sixu Liu received her Ph.D. degree from Peking University in 2019. She then worked as a postdoc at Tsinghua University before joining BIMSA as an assistant professor in 2022. Her main research interests include dynamical systems and ergodic theory, as well as statistical experimental design.