Geodesic
Asymptotics of correlation decrease for Gibbs spin fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 3-12 
E. A. Zhizhina; R. A. Minlos. Asymptotics of correlation decrease for Gibbs spin fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a0/
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     author = {E. A. Zhizhina and R. A. Minlos},
     title = {Asymptotics of correlation decrease for {Gibbs} spin fields},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     year = {1988},
     volume = {77},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The asymptotics of decrease of the correlations $\langle F_0,F_x\rangle$ is considered in the case of Gibbs spin fields on a lattice $\mathbb Z^\nu$ of arbitrary dimension at high temperatures for a large class of functions $F_0$ ($F_x$ is the function $F_0$ “shifted” by the vector $x\in\mathbb Z^\nu$). The correlation in the case of shift of $F_0$ along the “time” axis is studied in most detail. In all the considered cases the leading (exponential) term of the asymptotic behavior is found, and also its pre-exponential factor.

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