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Variational principles for topological pressure in the case of a Markov chain with a countable number of states

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Literature cited

  1. R. Bowen, Methods of Symbolic Dynamics [Russian translation], Mir, Moscow (1979).

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  2. Ya. B. Pesin and B. S. Pitskel', “Topological pressure and the variational principle for noncompact sets,” Punkts. Analiz,18, No. 4, 50–63 (1984).

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  3. B. M. Gurevich, “Topological entropy for a countable Markov chain,” Dokl. Akad. Nauk SSSR,187, No. 4, 715–718 (1969).

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  4. A. N. Shiryaev, Probability [in Russian], Nauka, Moscow (1980).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. S. Zargaryan

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  1. A. S. Zargaryan
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Translated from Matematicheskie Zametki, Vol. 40, No. 6, pp. 749–761, December, 1986.

The author is deeply grateful to B. M. Gurevich for his constant attention and great help with this article.

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Zargaryan, A.S. Variational principles for topological pressure in the case of a Markov chain with a countable number of states. Mathematical Notes of the Academy of Sciences of the USSR 40, 921–928 (1986). https://doi.org/10.1007/BF01158352

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  • DOI: https://doi.org/10.1007/BF01158352

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