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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

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 :
  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 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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