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Stable Laws for Chaotic Billiards with Cusps at Flat Points

Annales Henri Poincare, ISSN: 1424-0637, Vol: 19, Issue: 12, Page: 3815-3853
2018
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  • Citations
    6
    • Citation Indexes
      6

Article Description

We consider billiards with a single cusp where the walls meeting at the vertex of the cusp have zero one-sided curvature, thus forming a flat point at the vertex. For Hölder continuous observables, we show that properly normalized Birkhoff sums, with respect to the billiard map, converge in law to a totally skewed α-stable law.

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