Statistical Properties of Dynamical Systems
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
Date
28th February ~ 23rd May, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 13:30 - 16:55 | A3-1-103 | ZOOM 01 | 928 682 9093 | BIMSA |
Prerequisite
basic knowledge of measure theory, functional analysis and Riemannian manifold
Reference
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.
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.