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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 47, Number 3, Pages 362–374 (Mi tmf2391)  

This article is cited in 4 scientific papers (total in 4 papers)

Generating functional method and Gibbs random fields on countable sets

V. V. Krivolapova, G. I. Nazin
References:
Abstract: Discrete systems with many-particle absolutely summable potential are considered. It is shown that all probability measures on the configuration space of such systems are determined by analytic generating functionals. If the measure is to be Gibbsian, it is necessary and sufficient that its generating functional satisfy a generalized Bogolyubov equation.
Received: 19.02.1980
English version:
Theoretical and Mathematical Physics, 1981, Volume 47, Issue 3, Pages 514–532
DOI: https://doi.org/10.1007/BF01019303
Bibliographic databases:
Language: Russian
Citation: V. V. Krivolapova, G. I. Nazin, “Generating functional method and Gibbs random fields on countable sets”, TMF, 47:3 (1981), 362–374; Theoret. and Math. Phys., 47:3 (1981), 514–532
Citation in format AMSBIB
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\by V.~V.~Krivolapova, G.~I.~Nazin
\paper Generating functional method and Gibbs random fields on countable sets
\jour TMF
\yr 1981
\vol 47
\issue 3
\pages 362--374
\mathnet{http://mi.mathnet.ru/tmf2391}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=630176}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 47
\issue 3
\pages 514--532
\crossref{https://doi.org/10.1007/BF01019303}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MX63700007}
Linking options:
  • https://www.mathnet.ru/eng/tmf2391
  • https://www.mathnet.ru/eng/tmf/v47/i3/p362
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:563
    Full-text PDF :79
    References:48
    First page:1
     
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