English

Ergodicity of two hard balls in integrable polygons

Dynamical Systems 2009-11-10 v1 Mathematical Physics math.MP

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 45459045-45-90^\circ triangle or the 30609030-60-90^\circ triangle.

Keywords

Cite

@article{arxiv.math/0310331,
  title  = {Ergodicity of two hard balls in integrable polygons},
  author = {Péter Bálint and Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:math/0310331},
  year   = {2009}
}

Comments

30 pages, 1 figure

R2 v1 2026-07-22T16:58:52.782Z