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Markov partitions for dispersed billiards. (English) Zbl 0453.60098

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
37C85 Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\)
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[1] Sinai, Ya.G.: Russ. Math. Survey25, 137–189 (1970) · Zbl 0263.58011
[2] Sinai, Ya.G.: Funct. Anal. Appl.2, 64–89 (1968);2, 70–80 (1968) · Zbl 0182.55003
[3] Bowen, R.: Equilibrium states and ergodic theory of Anosov diffeomorphisms. In: Lecture notes in mathematics, Vol. 470, p. 108. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0308.28010
[4] Ruelle, D.: Thermodynamic formalism, p. 180. New York: Addison-Wesley 1978 · Zbl 0401.28016
[5] Anosov, D.V., Sinai, Ja.G.: Russ. Math. Survey22, 103–167 (1967) · Zbl 0177.42002
[6] Gallavotti, G.: Lectures on billiards. In: Lecture notes in physics, Vol. 38, pp. 236–296. Berlin, Heidelberg, New York: Springer 1975
[7] Keller, G.: Diplomarbeit, p. 203. Erlangen (1977)
[8] Sinai, Ya.G.: Theory of phase transitions. Rigorous results, p. 160. Moscow: Nauka 1980
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