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arXiv · 2006.05231

Statistical properties of type D dispersing billiards

Margaret Brown·Péter Nándori
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Abstract

We consider dispersing billiard tables whose boundary is piecewise smooth and the free flight function is unbounded. We also assume there are no cusps. Such billiard tables are called type D in the monograph of Chernov and Markarian. For a class of non-degenerate type D dispersing billiards, we prove exponential decay of correlation and several other statistical properties.

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Margaret Brown, Péter Nándori. 2020-06-09. Statistical properties of type D dispersing billiards. https://arxiv.org/abs/2006.05231

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