动力系统的统计性质
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.
讲师
日期
2023年02月28日 至 05月23日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 13:30 - 16:55 | A3-1-103 | ZOOM 01 | 928 682 9093 | BIMSA |
修课要求
basic knowledge of measure theory, functional analysis and Riemannian manifold
参考资料
1. Rufus Bowen: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Second revised edition, 2008.
2.Marcelo Viana: Stochastic dynamics of deterministic systems, 1997.
3.William Parry and Mark Pollicott: Zeta functions and the periodic orbit structure of hyperbolic dynamics, 1990.
2.Marcelo Viana: Stochastic dynamics of deterministic systems, 1997.
3.William Parry and Mark Pollicott: Zeta functions and the periodic orbit structure of hyperbolic dynamics, 1990.
听众
Graduate
视频公开
公开
笔记公开
公开
语言
中文
讲师介绍
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。