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arxiv: math/0310331 · v1 · submitted 2003-10-21 · 🧮 math.DS · math-ph· math.MP

Ergodicity of two hard balls in integrable polygons

P\'eter B\'alint , Serge Troubetzkoy This is my paper
classification 🧮 math.DS math-phmath.MP
keywords triangleballscircergodicityhardpolygonsbernoulliequilateral
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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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