On some random billiards in a tube with superdiffusion
Dynamical Systems
2025-07-21 v2
Abstract
We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the horizontal displacement of a particle, which marginally fails to have a second moment w.r.t.\ the invariant measure of the random billiard.
Cite
@article{arxiv.2410.09461,
title = {On some random billiards in a tube with superdiffusion},
author = {Henk Bruin and Niels Kolenbrander and Dalia Terhesiu},
journal= {arXiv preprint arXiv:2410.09461},
year = {2025}
}
Comments
Update after final referee remarks were received