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Markov Partitions for dispersed billiards

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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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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Physics, Academy of Sciences, SU-117334, Moscow, USSR

    L. A. Bunimovich & Ya. G. Sinai

Authors
  1. L. A. Bunimovich
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  2. Ya. G. Sinai
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Communicated by A. Jaffe

Dedicated to the memory of Rufus Bowen

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Bunimovich, L.A., Sinai, Y.G. Markov Partitions for dispersed billiards. Commun.Math. Phys. 78, 247–280 (1980). https://doi.org/10.1007/BF01942372

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  • DOI: https://doi.org/10.1007/BF01942372

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