Recurrence and non-ergodicity in generalized wind-tree models
Dynamical Systems
2015-06-22 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider generalized wind-tree models and -covers over compact translation surfaces. Under suitable hypothesis, we prove recurrence of the linear flow in a generic direction and non-ergodicity of Lebesgue measure.
Cite
@article{arxiv.1506.05884,
title = {Recurrence and non-ergodicity in generalized wind-tree models},
author = {Krzysztof Frączek and Pascal Hubert},
journal= {arXiv preprint arXiv:1506.05884},
year = {2015}
}