Typical recurrence for the ehrenfest wind-tree model
Dynamical Systems
2012-01-19 v1
Abstract
We show that the typical wind-tree model, in the sense of Baire, is recurrent and has a dense set of periodic orbits. The recurrence result also holds for the Lorentz gas : the typical Lorentz gas, in the sense of Baire, is recurrent. These Lorentz gases need not be of finite horizon!
Cite
@article{arxiv.1004.3455,
title = {Typical recurrence for the ehrenfest wind-tree model},
author = {Serge Troubetzkoy},
journal= {arXiv preprint arXiv:1004.3455},
year = {2012}
}