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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 73, Number 3, Pages 323–334
(Mi tmf5635)
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Some Gibbs aspects of the sine-Gordon transformation
R. Gelerak
Abstract:
Functional equations of Dobrushin–Lanford–Ruelle are studied in the case of
trigonometrical perturbations of Gaussian measures defined on the space of tempered
distributions. Theorem about the uniqueness of translation invariant limiting Hibbs
states is proved. It is verified that global Markov property is not violated by small
perturbations of Markovian measures.
Received: 06.05.1986
Citation:
R. Gelerak, “Some Gibbs aspects of the sine-Gordon transformation”, TMF, 73:3 (1987), 323–334; Theoret. and Math. Phys., 73:3 (1987), 1247–1255
Linking options:
https://www.mathnet.ru/eng/tmf5635 https://www.mathnet.ru/eng/tmf/v73/i3/p323
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Abstract page: | 254 | Full-text PDF : | 77 | References: | 46 | First page: | 1 |
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