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Ergodicity of two hard balls in integrable polygons

Péter Bálint·Serge Troubetzkoy
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Abstract

We prove the hyperbolicity, ergodicity and thus the Bernoulli property of two hard balls in one of the following four polygons: the square, the equilateral triangle, the $45-45-90^\circ$ triangle or the $30-60-90^\circ$ triangle.

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Péter Bálint, Serge Troubetzkoy. 2003-10-21. Ergodicity of two hard balls in integrable polygons. https://doi.org/10.1088/0951-7715%2F17%2F6%2F005

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