Communications in Mathematical Physics

, Volume 78, Issue 2, pp 247–280

Markov Partitions for dispersed billiards

Authors

  • L. A. Bunimovich
    • L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences
  • Ya. G. Sinai
    • L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences
Article

DOI: 10.1007/BF01942372

Cite this article as:
Bunimovich, L.A. & Sinai, Y.G. Commun.Math. Phys. (1980) 78: 247. doi:10.1007/BF01942372

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.

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© Springer-Verlag 1980