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arXiv · 2203.00785

Back to Boundaries in Billiards

Leonid Bunimovich·Yaofeng Su
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Abstract

We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for applications. Sinai billiards with or without a finite horizon, diamond billiards, and semi-dispersing billiards, as well as focusing billiards with slow decay of correlations, are considered.

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Leonid Bunimovich, Yaofeng Su. 2022-03-01. Back to Boundaries in Billiards. https://arxiv.org/abs/2203.00785

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