Ergodic systems of n balls in a billiard table

Leonid Bunimovich, Carlangelo Liverani, Alessandro Pellegrinotti, Iouri M. Soukhov

Research output: Contribution to journalArticle

49 Scopus citations

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 languageEnglish (US)
Pages (from-to)357-396
Number of pages40
JournalCommunications in Mathematical Physics
Volume146
Issue number2
DOIs
StatePublished - May 1 1992

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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