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G. Magno, R. Markarian (2010)
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We prove that hyperbolic billiards constructed by Bussolari and Lenci are Bernoullisystems. These billiards cannot be studied by existing approaches to analysis ofbilliards that have some focusing boundary components, which require the diameterof the billiard table to be of the same order as the largest curvature radiusalong the focusing component. Our proof employs a local ergodic theoremwhich states that, under certain conditions, there is a full measure setof the billiard phase space such that each point of the set has a neighborhoodcontained (mod 0) in a Bernoulli component of the billiard map.
Regular and Chaotic Dynamics – Springer Journals
Published: Jul 30, 2020
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