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Sinai, Ya. G.

Markov partitions and \(C\)-diffeomorphisms. (English. Russian original) Zbl 0182.55003

Funct. Anal. Appl. 2, 61-82 (1968); translation from Funkts. Anal. Prilozh. 2, No. 1, 64-89 (1968).
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Cited in 3 Reviews
Cited in 117 Documents

MSC:

37C05 Dynamical systems involving smooth mappings and diffeomorphisms

Keywords:

differential geometry
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References:

[1] R. Adler, A. G. Konheim, and M. H. McAndrew, ”Topological entropy,” Trans. Am. Math. Soc.,114, 309-319 (1965). · Zbl 0127.13102 · doi:10.1090/S0002-9947-1965-0175106-9
[2] R. Adler and B. Weiss, ”Entropy, a complete metric invariant for automorphisms of the torus,” Proc. Nat. Acad. Sci. USA,57, No. 6, 1573-1576 (1967). · Zbl 0177.08002 · doi:10.1073/pnas.57.6.1573
[3] D. V. Anosov, ”Geodesic flows on closed Riemannian manifolds of negative curvature,” Trudy Matem. Inst. im. V. A. Steklova,90 (1967). · Zbl 0176.19101
[4] D. V. Anosov and Ya. G. Sinai, ”Certain smooth ergodic systems,” Uspekhi Mat. Nauk,22, No. 5, 107-172 (1967). · Zbl 0177.42002
[5] V. J. Arnold and A. Avez, Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris (1967). · Zbl 0149.21704
[6] J. L. Doob, Stochastic Processes, Wiley, New York (1953).
[7] W. Parry, ”Intrinsic Markov chains,” Trans. Am. Math. Soc.,112, 55-66 (1964). · Zbl 0127.35301 · doi:10.1090/S0002-9947-1964-0161372-1
[8] Ya. G. Sinai, ”Classical dynamical systems with a denumerable-tuple Lebesgue spectrum. II,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, 15-68 (1966).
[9] Ya. G. Sinai, ”A lemma from measure theory,” Matem. Zametki,2, No. 4, 373-378 (1967). · Zbl 0155.38403
[10] D. V. Anosov, ”Tangential fields of transversal foliations in C-systems,” Matem. Zametki,2, No. 5, 539-548 (1967).
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