Statistical properties of two-dimensional hyperbolic billiards
作者： L A Bunimovich , Yakov G Sinai , N I Chernov
DOI: 10.1070/RM1991V046N04ABEH002827
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摘要: … Below we will consider hyperbolic billiards (see [34]), that is, billiards given inside a domain … -dimensional billiards for which Markov partitions were constructed in [8]. These are billiards …
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sci-hub.se 参考文章(26)
Robert Edward Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms ,(2008)
Michael Brin, Review: Anatole Katok and Jean-Marie Strelcyn, Invariant manifolds, entropy and billiards; smooth maps with singularities Bulletin of the American Mathematical Society. ,vol. 18, pp. 256- 257 ,(1988) , 10.1090/S0273-0979-1988-15670-4
I. A. Ibragimov, J. F. C. Kingman, I︠u︡. V. Linnik, Independent and stationary sequences of random variables ,(1971)
Rufus Bowen, David Ruelle, The Ergodic Theory of Axiom A Flows The Theory of Chaotic Attractors. ,vol. 29, pp. 55- 76 ,(1975) , 10.1007/978-0-387-21830-4_5
L A Bunimovich, Yakov G Sinai, N I Chernov, Markov partitions for two-dimensional hyperbolic billiards Russian Mathematical Surveys. ,vol. 45, pp. 105- 152 ,(1990) , 10.1070/RM1990V045N03ABEH002355
Jean-Philippe Bouchaud, Pierre Le Doussal, Numerical study of aD-dimensional periodic Lorentz gas with universal properties Journal of Statistical Physics. ,vol. 41, pp. 225- 248 ,(1985) , 10.1007/BF01020610
A. Krámli, N. Simányi, D. Szász, A “Transversal” Fundamental Theorem for semi-dispersing billiards Communications in Mathematical Physics. ,vol. 129, pp. 535- 560 ,(1990) , 10.1007/BF02099675
L. A. Bunimovich, Ya. G. Sinai, Statistical properties of Lorentz gas with periodic configuration of scatterers Communications in Mathematical Physics. ,vol. 78, pp. 479- 497 ,(1981) , 10.1007/BF02046760
Franco Vivaldi, Giulio Casati, Italo Guarneri, Origin of Long-Time Tails in Strongly Chaotic Systems Physical Review Letters. ,vol. 51, pp. 727- 730 ,(1983) , 10.1103/PHYSREVLETT.51.727
Giulio Casati, Giorgio Comparin, Italo Guarneri, Decay of correlations in certain hyperbolic systems Physical Review A. ,vol. 26, pp. 717- 719 ,(1982) , 10.1103/PHYSREVA.26.717