Functional Analysis and Its Applications

, Volume 2, Issue 1, pp 61–82 | Cite as

Markov partitions and C-diffeomorphisms

  • Ya. G. Sinai


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    R. Adler, A. G. Konheim, and M. H. McAndrew, "Topological entropy," Trans. Am. Math. Soc.,114, 309–319 (1965).Google Scholar
  2. 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).Google Scholar
  3. 3.
    D. V. Anosov, "Geodesic flows on closed Riemannian manifolds of negative curvature," Trudy Matem. Inst. im. V. A. Steklova,90 (1967).Google Scholar
  4. 4.
    D. V. Anosov and Ya. G. Sinai, "Certain smooth ergodic systems," Uspekhi Mat. Nauk,22, No. 5, 107–172 (1967).Google Scholar
  5. 5.
    V. J. Arnold and A. Avez, Problèmes ergodiques de la mécanique classique, Gauthier-Villars, Paris (1967).Google Scholar
  6. 6.
    J. L. Doob, Stochastic Processes, Wiley, New York (1953).Google Scholar
  7. 7.
    W. Parry, "Intrinsic Markov chains," Trans. Am. Math. Soc.,112, 55–66 (1964).Google Scholar
  8. 8.
    Ya. G. Sinai, "Classical dynamical systems with a denumerable-tuple Lebesgue spectrum. II," Izv. Akad. Nauk SSSR, Ser. Matem.,30, 15–68 (1966).Google Scholar
  9. 9.
    Ya. G. Sinai, "A lemma from measure theory," Matem. Zametki,2, No. 4, 373–378 (1967).Google Scholar
  10. 10.
    D. V. Anosov, "Tangential fields of transversal foliations in C-systems," Matem. Zametki,2, No. 5, 539–548 (1967).Google Scholar

Copyright information

© Consultants Bureau 1968

Authors and Affiliations

  • Ya. G. Sinai

There are no affiliations available

Personalised recommendations