Markov Partitions for dispersed billiards

L. A. Bunimovich, Ya G. Sinai

Research output: Contribution to journalArticlepeer-review

207 Scopus citations

Abstract

Markov Partitions for some classes of billiards in two-dimensional domains on ℝ2 or two-dimensional torus are constructed. Using these partitions we represent the microcanonical distribution of the corresponding dynamical system in the form of a limit Gibbs state and investigate the character of its approximations by finite Markov chains.

Original languageEnglish (US)
Pages (from-to)247-280
Number of pages34
JournalCommunications In Mathematical Physics
Volume78
Issue number2
DOIs
StatePublished - Dec 1980

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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