Apr 22, 2024
Lorentz gas with small scatterers; some non-standard Limit Theorems
Vienna Probability Seminar
Date: April 22, 2024 |
5:00 pm –
6:00 pm
Speaker:
Henk Bruin, University of Vienna
Location: Mondi 2 (I01.01.008), Central Building
Language:
English
A main theme in smooth ergodic theory is to explain and rigorously prove the occurrence of statistical laws for deterministic dynamical systems. If an invariant measures is taken to consider a dynamical system as stochastic process, then this process is at best highly dependent.
Lorentz gas is a model of uniform movement with elastic collisions on a grid of convex scatterers, used to describe the motion of electrons in a metal. In this talk, I want to discuss some limit theorems (non-standard Gaussian, local limit) that can be proven when not only times goes to infinity, but also the scatterer size goes to zero.
