Ergodicity of two hard balls in integrable polygons

Details Ergodicity of two hard balls in integrable polygons Ergodicity of two hard balls in integrable polygons

2003-10-21

arxiv.org/abs/math/0310331v1

Nonlinearity 17 (2004) 2069-2090

Mathematics

Dynamical Systems

30 pages, 1 figure

Scientific paper

10.1088/0951-7715/17/6/005

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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