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TMF, 1981, Volume 47, Number 3, Pages 362–374 (Mi tmf2391)  

This article is cited in 3 scientific papers (total in 3 papers)

Generating functional method and Gibbs random fields on countable sets

V. V. Krivolapova, G. I. Nazin


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.

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English version:
Theoretical and Mathematical Physics, 1981, 47:3, 514–532

Bibliographic databases:

Received: 19.02.1980

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
\Bibitem{KriNaz81}
\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://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1981MX63700007}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Krivolapova, “Equivalence of Gibbs ensembles for classical lattice systems”, Theoret. and Math. Phys., 52:2 (1982), 803–814  mathnet  crossref  mathscinet  isi
    2. V. V. Krivolapova, G. I. Nazin, “Stability of Gibbs distributions”, Theoret. and Math. Phys., 65:2 (1985), 1172–1176  mathnet  crossref  mathscinet  isi
    3. V. V. Ryazanov, “Obtaining the thermodynamic relations for the Gibbs ensemble using the maximum entropy method”, Theoret. and Math. Phys., 194:3 (2018), 390–403  mathnet  crossref  crossref  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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