Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit

Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit

Probability Seminar
Nov 3, 2021, 03:00 PM - 04:00 PM | Zoom (https://berkeley.zoom.us/j/95636543170) | Happening As Scheduled
Bálint Tóth, University of Bristol and Rényi Institute Budapest

Invariance principle is proved for a random Lorentz-gas particle in 3 dimensions
under the Boltzmann-Grad limit and simultaneous diffusive scaling. That is, for the
trajectory of a point-like particle moving among infinite-mass, hard-core, spherical
scatterers of radius $r$, placed according to a Poisson point process of density
$\varrho$, in the limit $\varrho \to \infty$, $r \to 0$,...