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