Statistical properties of open dynamical systems
Yaofeng Su
U. Rome Tor Vergata
https://sites.google.com/view/yfsu/about-me
Date(s) : 17/12/2024 iCal
11h00 - 12h00
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
- where orbits prefer going in the phase space of nonuniformly expanding dynamical systems.
I will outline the idea of the proof for it, which uses a new operator renewal theory and generalized Keller-Liverani perturbation theory.
This is a joint work with Prof. Bunimovich.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
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