Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Dynamical Systems
2015-07-23 v1
Abstract
We study polygonal billiards with reflection laws contracting the reflected angle towards the normal. It is shown that if a polygon does not have parallel sides facing each other, then the corresponding billiard map has finitely many ergodic SRB measures whose basins cover a set of full Lebesgue measure.
Keywords
Cite
@article{arxiv.1507.06250,
title = {Hyperbolic polygonal billiards with finitely many ergodic SRB measures},
author = {Gianluigi Del Magno and João Lopes Dias and Pedro Duarte and José Pedro Gaivão},
journal= {arXiv preprint arXiv:1507.06250},
year = {2015}
}
Comments
26 pages, 2 figures