Statistic properties of open dynamical systems

11.04.2025 14:15 - 15:15

Yaofeng Su (University of Rome Tor Vergata)

Abstract: 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, and 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. (Joint work with Prof. Bunimovich.)

Organiser:

H. Bruin, R. Zweimüller

Location:
BME Budapest