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Problemy Peredachi Informatsii, 1974, Volume 10, Issue 3, Pages 94–103 (Mi ppi1046)  
Large Systems

Gibbs Description of a System of Random Variables

O. K. Kozlov
Full-text PDF (1102 kB)
Abstract: Necessary and sufficient conditions are given for a joint-distributed countable set of random variables, all of whose conditional distribution functions are absolutely continuous with respect to a certain finite measure, to be representable in Gibbs form with a potential whose strong norm is pointwise finite.
Received: 19.06.1973
Bibliographic databases:
Document Type: Article
UDC: 519.25
Language: Russian
Citation: O. K. Kozlov, “Gibbs Description of a System of Random Variables”, Probl. Peredachi Inf., 10:3 (1974), 94–103; Problems Inform. Transmission, 10:3 (1974), 258–265
Citation in format AMSBIB
\Bibitem{Koz74}
\by O.~K.~Kozlov
\paper Gibbs Description of a System of Random Variables
\jour Probl. Peredachi Inf.
\yr 1974
\vol 10
\issue 3
\pages 94--103
\mathnet{http://mi.mathnet.ru/ppi1046}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=467970}
\zmath{https://zbmath.org/?q=an:0325.60096}
\transl
\jour Problems Inform. Transmission
\yr 1974
\vol 10
\issue 3
\pages 258--265
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