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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 47, Number 3, Pages 362–374
(Mi tmf2391)
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This article is cited in 4 scientific papers (total in 4 papers)
Generating functional method and Gibbs random fields on countable sets
V. V. Krivolapova, G. I. Nazin
Abstract:
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.
Received: 19.02.1980
Citation:
V. V. Krivolapova, G. I. Nazin, “Generating functional method and Gibbs random fields on countable sets”, TMF, 47:3 (1981), 362–374; Theoret. and Math. Phys., 47:3 (1981), 514–532
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https://www.mathnet.ru/eng/tmf2391 https://www.mathnet.ru/eng/tmf/v47/i3/p362
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Abstract page: | 569 | Full-text PDF : | 85 | References: | 53 | First page: | 1 |
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