Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit
Probability
2025-02-27 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
By synchronously coupling multiple Lorentz trajectories exploring the same environment consisting of randomly placed scatterers in R^3 we upgrade the annealed invariance principle proved in [C. Lutsko, B. T\'oth, Commun. Math. Phys. 379 589-632 (2020)] to quenched setting (that is, valid for almost all realizations of the environment) along sufficiently fast extractor sequences.
Cite
@article{arxiv.2501.00519,
title = {Semi-Quenched Invariance Principle for the Random Lorentz Gas -- Beyond the Boltzmann-Grad Limit},
author = {Bálint Tóth},
journal= {arXiv preprint arXiv:2501.00519},
year = {2025}
}
Comments
Comment on Ver2: Revised version. Minor corrections, clarifications made. 18 pages