Statistic properties of open dynamical systems
In this talk I will talk about some new results for the escape and hitting statistics for various open dynamical systems. This includes:
- Poisson limit laws for arbitrary slow mixing hyperbolic billiards, a connection to RH will be presented too
- polynomial and exponential escape rates, and
- here 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.)