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.)
Statistic properties of open dynamical systems
11.04.2025 14:15 - 15:15
Organiser:
H. Bruin, R. Zweimüller
Location:
BME Budapest