Abstract: 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.
Lorentz gas with small scatterers; some non-standard Limit Theorems
22.04.2024 17:00 - 18:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
ISTA, Mondi 2 (I01.01.008), Central Building