Geodesic
Generating functional method and Gibbs random fields on countable sets
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 3, pp. 362-374

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Discrete systems with many-particle absolutely summable potential are considered. It is shown that all probability measures on the configuration space of such systems are determined by analytic generating functionals. If the measure is to be Gibbsian, it is necessary and sufficient that its generating functional satisfy a generalized Bogolyubov equation. 
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     author = {V. V. Krivolapova and G. I. Nazin},
     title = {Generating functional method and {Gibbs} random fields on countable sets},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {362--374},
     publisher = {mathdoc},
     volume = {47},
     number = {3},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_3_a7/}
}
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V. V. Krivolapova; G. I. Nazin. Generating functional method and Gibbs random fields on countable sets. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 3, pp. 362-374. http://geodesic.mathdoc.fr/item/TMF_1981_47_3_a7/