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TMF, 1984, Volume 60, Number 3, Pages 468–475 (Mi tmf5589)  

Random cluster expansions in the high-temperature region

I. V. Nikolaev


Abstract: A study is made of the Ising model with external field and unbounded random interaction in the high-temperature region. For this model, an exponentially regular cluster expansion is constructed at sufficiently high temperatures and the existence of a limit Gibbs field and its uniqueness and analytic dependence on the parameters are proved.

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English version:
Theoretical and Mathematical Physics, 1984, 60:3, 945–950

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Received: 26.12.1983

Citation: I. V. Nikolaev, “Random cluster expansions in the high-temperature region”, TMF, 60:3 (1984), 468–475; Theoret. and Math. Phys., 60:3 (1984), 945–950

Citation in format AMSBIB
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\by I.~V.~Nikolaev
\paper Random cluster expansions in the high-temperature region
\jour TMF
\yr 1984
\vol 60
\issue 3
\pages 468--475
\mathnet{http://mi.mathnet.ru/tmf5589}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=768173}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 60
\issue 3
\pages 945--950
\crossref{https://doi.org/10.1007/BF01017897}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984AEF5000012}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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