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Matematicheskie Zametki, 1971, Volume 9, Issue 3, Pages 291–302 (Mi mzm9669)  

This article is cited in 2 scientific papers (total in 2 papers)

Number of invariant measures with maximal entropy for translation in the space of sequences

M. S. Shtil'man

M. V. Lomonosov Moscow State University
Abstract: An example is constructed of a topologically transitive dynamic system with positive entropy, having any assigned finite number of ergodic measures with respect to each of which the metric entropy is equal to the topological entropy.
Received: 18.07.1969
English version:
Mathematical Notes, 1971, Volume 9, Issue 3, Pages 169–175
DOI: https://doi.org/10.1007/BF01410034
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. S. Shtil'man, “Number of invariant measures with maximal entropy for translation in the space of sequences”, Mat. Zametki, 9:3 (1971), 291–302; Math. Notes, 9:3 (1971), 169–175
Citation in format AMSBIB
\Bibitem{Sht71}
\by M.~S.~Shtil'man
\paper Number of invariant measures with maximal entropy for translation in the space of sequences
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 3
\pages 291--302
\mathnet{http://mi.mathnet.ru/mzm9669}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=281878}
\zmath{https://zbmath.org/?q=an:0226.54032|0208.25802}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 3
\pages 169--175
\crossref{https://doi.org/10.1007/BF01410034}
Linking options:
  • https://www.mathnet.ru/eng/mzm9669
  • https://www.mathnet.ru/eng/mzm/v9/i3/p291
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:221
    Full-text PDF :132
    References:4
    First page:1
     
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