Hyperbolic polygonal billiards with finitely many ergodic SRB measures
arXiv:1507.06250
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.
26 pages, 2 figures