Advertisement

Functional Analysis and Its Applications

, Volume 22, Issue 4, pp 330–331 | Cite as

Weighted shift operator on a topological Markov chain

  • Yu. D. Latushkin
  • A. M. Stepin
Brief Communications

Keywords

Markov Chain Functional Analysis Shift Operator Weighted Shift Topological Markov Chain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Literature Cited

  1. 1.
    R. Bouen (R. Bowen), Methods of Symbolic Dynamics [Russian translation], Mir, Moscow (1979).Google Scholar
  2. 2.
    P. Walters, "A variational principle for the pressure of continuous transformations," Am. J. Math.,97, No. 4, 937–971 (1975).Google Scholar
  3. 3.
    B. Kitchens and S. Tuncel, "Finitary measures for subshifts of finite type and sofic systems," Mem. Am. Math. Soc.,58, No. 338 (1985).Google Scholar
  4. 4.
    A. B. Antonevich, "Operators that are generalized by linear extensions of diffeomorphims," Dokl. Akad. Nauk SSSR,243, No. 4, 825–828 (1978).Google Scholar
  5. 5.
    Yu. I. Karlovich and V. G. Kravchenko, "On systems of functional and integrofunctional equations with non-Carleman shift," Dokl. Akad. Nauk SSSR,236, No. 5, 1064–1067 (1977).Google Scholar
  6. 6.
    C. Chicone and R. C. Swanson, "Spectral theory for linearizations of dynamical systems," J. Diff. Eqs.40, 155–167 (1981).Google Scholar
  7. 7.
    R. A. Johnson, "Analyticity of spectral subbundles," J. Diff. Eqs.,35, 366–387 (1980).Google Scholar
  8. 8.
    V. I. Oseledets, "A multiplicative ergodic theorem. Characteristic Lyapunov exponents of dynamical systems," Tr. Mosk. Mat. Obshch.,19, 179–210 (1968).Google Scholar
  9. 9.
    V. I. Oseledets, Sixth Internat. Symposium on Information Theory. Abstracts of Reports, Part 3 (1984), pp. 162–163.Google Scholar
  10. 10.
    P. Walters, An Introduction to Ergodic Theory, Springer, New York (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Yu. D. Latushkin
  • A. M. Stepin

There are no affiliations available

Personalised recommendations