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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 72, Pages 26–61 (Mi znsl1960)  

This article is cited in 44 scientific papers (total in 45 papers)

Many-valued measure-preserving mappings (polymorphisms) and Markovian operators

A. M. Vershik
Abstract: Systematic presentation of the basic concept of the theory of many-valued measure-preserving mappings of spaces and their functional equivalents – Markov operators. Relationship with Markov processes and dilations, with exact endomorphisms; extremal and indecomposable mappings; factor mappings; bistochastic and quasibistochastic measures; examples and applications.
English version:
Journal of Soviet Mathematics, 1983, Volume 23, Issue 3, Pages 2243–2266
DOI: https://doi.org/10.1007/BF01682800
Bibliographic databases:
UDC: 519.62
Language: Russian
Citation: A. M. Vershik, “Many-valued measure-preserving mappings (polymorphisms) and Markovian operators”, Problems of the theory of probability distributions. Part IV, Zap. Nauchn. Sem. LOMI, 72, "Nauka", Leningrad. Otdel., Leningrad, 1977, 26–61; J. Soviet Math., 23:3 (1983), 2243–2266
Citation in format AMSBIB
\Bibitem{Ver77}
\by A.~M.~Vershik
\paper Many-valued measure-preserving mappings (polymorphisms) and Markovian operators
\inbook Problems of the theory of probability distributions. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 72
\pages 26--61
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1960}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=476998}
\zmath{https://zbmath.org/?q=an:1115.37002|0408.28014}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 23
\issue 3
\pages 2243--2266
\crossref{https://doi.org/10.1007/BF01682800}
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  • https://www.mathnet.ru/eng/znsl/v72/p26
  • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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