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 language | English (US) |
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Pages (from-to) | 247-280 |
Number of pages | 34 |
Journal | Communications In Mathematical Physics |
Volume | 78 |
Issue number | 2 |
DOIs | |
State | Published - Dec 1980 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics