Statistic Properties of Open Dynamical Systems
Time: 2025-09-02
Published By: Xiaoni Tan
Speaker(s): Yaofeng Su(Southern University of Science and Technology)
Time: 15:00-16:00 September 4, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
In this talk I will talk about some new results for the escape and hitting statistics for various open dynamical systems. This includes:
1. Poisson limit laws for arbitrary slow mixing hyperbolic billiards, a connection to RH will be presented too
2. polynomial and exponential escape rates,
3. where orbits prefer going in the phase space of nonuniformly expanding dynamical systems.
I will outline the idea of the proof for part 3, which uses operator renewal theory and generalized Keller-Liverani perturbation theory.
