We study polygonal billiards with reflection laws contracting the angle of reflection 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 Sinai-Ruelle-Bowen measures whose basins cover a set of full Lebesgue measure.
Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Del Magno G.;
2018-01-01
Abstract
We study polygonal billiards with reflection laws contracting the angle of reflection 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 Sinai-Ruelle-Bowen measures whose basins cover a set of full Lebesgue measure.File in questo prodotto:
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