Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika"
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Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", 1981, Volume 18, Pages 3–51 (Mi intv45)  
This article is cited in 5 scientific papers (total in 5 papers)

Duality transformations of Gibbs random fields

V. A. Malyshev, E. N. Petrova
Full-text PDF (2523 kB) Citations (5)
Abstract: The duality of Gibbs fields are examined in three forms: the Poisson summation formula, “electrodynamic” representation, and Hamiltonian duality. New low-temperature expansions are obtained and systems with nonsummable interaction are studied.
English version:
Journal of Soviet Mathematics, 1983, Volume 21, Issue 6, Pages 877–909
DOI: https://doi.org/10.1007/BF01089192
Bibliographic databases:
UDC: 519.248:53
Language: Russian
Citation: V. A. Malyshev, E. N. Petrova, “Duality transformations of Gibbs random fields”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 18, VINITI, Moscow, 1981, 3–51; J. Soviet Math., 21:6 (1983), 877–909
Citation in format AMSBIB
\Bibitem{MalPet81}
\by V.~A.~Malyshev, E.~N.~Petrova
\paper Duality transformations of Gibbs random fields
\serial Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern.
\yr 1981
\vol 18
\pages 3--51
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intv45}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=625131}
\zmath{https://zbmath.org/?q=an:0521.60098|0537.60098}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 21
\issue 6
\pages 877--909
\crossref{https://doi.org/10.1007/BF01089192}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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