Geodesic
Some Gibbs aspects of the sine-Gordon transformation
Teoretičeskaâ i matematičeskaâ fizika, Tome 73 (1987) no. 3, pp. 323-334 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
     year = {1987},
     volume = {73},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_73_3_a0/}
}
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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/

[1] Siegert A. J. F., Physica, 26 (1960), 30 | DOI | Zbl

[2] Fröhlich J., Park Y. M., Commun. Math. Phys., 57 (1978), 235 | DOI | MR

[3] Fröhlich J., Park Y. M., J. Stat. Phys., 23 (1980), 701 | DOI | MR

[4] Fröhlich J., Spencer T., J. Stat. Phys., 24 (1981), 527 | DOI | MR

[5] Brydges D., Federbustz P., Commun. Math. Phys., 73 (1980), 197 ; Brydges D., Commun. Math. Phys., 58 (1978), 303 ; Imbrie J., Commun. Math. Phys., 87 (1983), 515 | DOI | MR | DOI | MR | DOI | MR

[6] Gelerak R., TMF, 67:2 (1986), 289–303 | MR

[7] Albeverio S., Hoegh-Krohn R., Commun. Math. Phys., 68 (1979), 68 | DOI | MR | Zbl

[8] Gielerak R., Zegarlinski B., Fortschr. Phys., 31 (1984), 1 | DOI | MR

[9] Gielerak R., “On the DLR equation for the two dimensional sine-Gordon model”, J. Math. Phys. (to appear) | MR

[10] Sukhov V., Tr. Mosk. matem. ob-va, 24, 1971 ; Скрипник В. Ю., Препринт ИТФ-75, 104Е, ИТФ, Киев, 1975 ; ДАН СССР, 22 (1975), 797 | MR | Zbl | MR | MR

[11] Gelerak R., Trigonometricheskie vozmozhnosti gaussovskikh obobschennykh polei. Sluchai silnoi svyazi, Soobschenie OIYaI R-17-87-12, OIYaI, Dubna, 1987

[12] Gelerak R., Trigonometricheskie vozmuscheniya gaussovskikh obobschennykh polei. Sluchai slaboi svyazi, Soobschenie OIYaI R-17-87-11, OIYaI, Dubna, 1987

[13] Rozanov Yu., Markovskie sluchainye polya, Nauka, M., 1981 | MR | Zbl

[14] Dobrushin R., Minlos R., Problemy mekhaniki i matematicheskoi fiziki, Mir, M., 1970

[15] Benfatto G., Gallavotti G., Nicdo F., J. Funct. Anal., 36 (1980), 343 | DOI | MR | Zbl

[16] McKean H. (jr.), Prob. Theory and its Applic., 8 (1963), 357 | DOI | MR | Zbl

[17] Pitt L., Arch. för Rat. Mech. Anal., 43 (1971), 43 | DOI | MR | Zbl

[18] Rockner M., Bielefeld Project No 2: Preprint No 58, Universitat Biedelfeld, 1984 | MR

[19] Molchan G. Ya., DAN SSSR, 197 (1971), 784 ; 215 (1974), 1276 | Zbl

[20] Nelson E., J. Funct. Anal., 12 (1973), 97 | DOI | MR | Zbl

[21] Rockner M., Math. Annal., 264 (1983), 212 | DOI | MR