Recurrence for quenched random Lorentz tubes
Dynamical Systems
2010-11-22 v2
Abstract
We consider the billiard dynamics in a strip-like set that is tessellated by countably many translated copies of the same polygon. A random configuration of semidispersing scatterers is placed in each copy. The ensemble of dynamical systems thus defined, one for each global choice of scatterers, is called `quenched random Lorentz tube'. We prove that, under general conditions, almost every system in the ensemble is recurrent.
Cite
@article{arxiv.0909.3069,
title = {Recurrence for quenched random Lorentz tubes},
author = {Giampaolo Cristadoro and Marco Lenci and Marcello Seri},
journal= {arXiv preprint arXiv:0909.3069},
year = {2010}
}
Comments
23 pages, 8 figures. Version published on Chaos, vol. 20 (2010) + correction of small erratum in condition (A3)