Ergodicity of two hard balls in integrable polygons

Serge Troubetzkoy (1, 2, 3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 IML - Institut de mathématiques de Luminy
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Systèmes dynamiques [math.DS]

Serge Troubetzkoy. Ergodicity of two hard balls in integrable polygons. Nonlinearity, 2004, 17, pp.2069-2090. ⟨hal-00002831⟩