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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 3, Pages 383–391
(Mi tmf2546)
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This article is cited in 3 scientific papers (total in 3 papers)
Description of Gibbs random fields by the generating functional method
G. I. Nazin
Abstract:
It is proved that generating functionals of a large class of systems with binary interactions determine the probability measures on the configuration space of infinite system. In this class of measures the Bogoliubov equation for the generating functional and the Dobrushin–Lanford–Ruelle equation for the measure are equivalent to each other.
Received: 30.10.1978
Citation:
G. I. Nazin, “Description of Gibbs random fields by the generating functional method”, TMF, 42:3 (1980), 383–391; Theoret. and Math. Phys., 42:3 (1980), 251–257
Linking options:
https://www.mathnet.ru/eng/tmf2546 https://www.mathnet.ru/eng/tmf/v42/i3/p383
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Abstract page: | 319 | Full-text PDF : | 101 | References: | 64 | First page: | 1 |
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