Aperiodic Lorentz gas: recurrence and ergodicity
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We prove that any generic (i.e., possibly aperiodic) Lorenz gas in two dimensions, with finite horizon and non-degenerate geometrical features, is ergodic if it is recurrent. We also give examples of aperiodic recurrent gases.
Keywords
Cite
@article{arxiv.math/0206299,
title = {Aperiodic Lorentz gas: recurrence and ergodicity},
author = {Marco Lenci},
journal= {arXiv preprint arXiv:math/0206299},
year = {2007}
}
Comments
17 pages, 3 figures