Some Gibbs aspects of the sine-Gordon transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 323-334
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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.
@article{TMF_1987_73_3_a0,
author = {R. Gelerak},
title = {Some {Gibbs} aspects of the {sine-Gordon} transformation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--334},
publisher = {mathdoc},
volume = {73},
number = {3},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a0/}
}
R. Gelerak. Some Gibbs aspects of the sine-Gordon transformation. Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a0/