Literature Cited
R. Adler, A. G. Konheim, and M. H. McAndrew, "Topological entropy," Trans. Am. Math. Soc.,114, 309–319 (1965).
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).
D. V. Anosov, "Geodesic flows on closed Riemannian manifolds of negative curvature," Trudy Matem. Inst. im. V. A. Steklova,90 (1967).
D. V. Anosov and Ya. G. Sinai, "Certain smooth ergodic systems," Uspekhi Mat. Nauk,22, No. 5, 107–172 (1967).
V. J. Arnold and A. Avez, Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris (1967).
J. L. Doob, Stochastic Processes, Wiley, New York (1953).
W. Parry, "Intrinsic Markov chains," Trans. Am. Math. Soc.,112, 55–66 (1964).
Ya. G. Sinai, "Classical dynamical systems with a denumerable-tuple Lebesgue spectrum. II," Izv. Akad. Nauk SSSR, Ser. Matem.,30, 15–68 (1966).
Ya. G. Sinai, "A lemma from measure theory," Matem. Zametki,2, No. 4, 373–378 (1967).
D. V. Anosov, "Tangential fields of transversal foliations in C-systems," Matem. Zametki,2, No. 5, 539–548 (1967).
Additional information
Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 2, No. 1, pp. 64–89, January–March, 1968.
Rights and permissions
About this article
Cite this article
Sinai, Y.G. Markov partitions and C-diffeomorphisms. Funct Anal Its Appl 2, 61–82 (1968). https://doi.org/10.1007/BF01075361
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01075361