### Abstract

We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.

Original language | English (US) |
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Pages (from-to) | 357-396 |

Number of pages | 40 |

Journal | Communications in Mathematical Physics |

Volume | 146 |

Issue number | 2 |

DOIs | |

State | Published - May 1 1992 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Bunimovich, L., Liverani, C., Pellegrinotti, A., & Soukhov, I. M. (1992). Ergodic systems of n balls in a billiard table.

*Communications in Mathematical Physics*,*146*(2), 357-396. https://doi.org/10.1007/BF02102633