### 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) |
---|---|

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 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

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

}

*Communications in Mathematical Physics*, vol. 146, no. 2, pp. 357-396. https://doi.org/10.1007/BF02102633

**Ergodic systems of n balls in a billiard table.** / Bunimovich, Leonid; Liverani, Carlangelo; Pellegrinotti, Alessandro; Soukhov, Iouri M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Ergodic systems of n balls in a billiard table

AU - Bunimovich, Leonid

AU - Liverani, Carlangelo

AU - Pellegrinotti, Alessandro

AU - Soukhov, Iouri M.

PY - 1992/5/1

Y1 - 1992/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039423777&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039423777&partnerID=8YFLogxK

U2 - 10.1007/BF02102633

DO - 10.1007/BF02102633

M3 - Article

AN - SCOPUS:0039423777

VL - 146

SP - 357

EP - 396

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -