Geodesic
Random cluster expansions in the high-temperature region
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 468-475 
I. V. Nikolaev. Random cluster expansions in the high-temperature region. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 468-475. http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a11/
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     author = {I. V. Nikolaev},
     title = {Random cluster expansions in the high-temperature region},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {468--475},
     year = {1984},
     volume = {60},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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