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Hyperbolic polygonal billiards with finitely many ergodic SRB measures
Published online by Cambridge University Press: 14 March 2017
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.
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- © Cambridge University Press, 2017
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