Generalized law of iterated logarithm for the Lorentz gas with infinite horizon
Probability
2025-01-28 v2 Dynamical Systems
Abstract
We obtain a generalized law of the iterated logarithm for a class of dependent processes with superdiffusive behaviour. Our results apply in particular to the Lorentz gas with infinite horizon.
Keywords
Cite
@article{arxiv.2403.19582,
title = {Generalized law of iterated logarithm for the Lorentz gas with infinite horizon},
author = {Péter Bálint and Dalia Terhesiu},
journal= {arXiv preprint arXiv:2403.19582},
year = {2025}
}
Comments
Restructured, exposition is now more focused on results for the Lorentz gas. Proof of Lemma 5.4 (Lemma 4.4 in the previous version) corrected