Geodesic
Nonfinite perturbations of Gibbs fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 16-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of small nonfinite perturbations of a Gibbs Markov random field that satisfies certain natural conditions of weakness of the correlations at sufficiently large distances. Sufficient conditions on the smallness of the perturbing potential to ensure that the analyticity of the free energy is not violated are obtained. 
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R. L. Dobrushin; M. R. Martirosyan. Nonfinite perturbations of Gibbs fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 16-28. http://geodesic.mathdoc.fr/item/TMF_1988_74_1_a1/

[1] Glimm Dzh., Dzhaffe A., Kvantovaya fizika—podkhod s tochki zreniya kontinualnykh integralov, Mir, M., 1984 | MR | Zbl

[2] Malyshev V. A., Minlos R. A., Gibbsovskie sluchainye polya, Nauka, M., 1985 | MR

[3] Dobrushin R. L., Shlosman S. B., “Completely Analytical Gibbs Fields”, Dynamical Systems. Rigorous Results, eds. J. Fritz, A. Jaffe, D. Szasz, Birkhauser, 1985, 371–404 | MR

[4] Dobrushin R. L., Novyi podkhod k issledovaniyu gibbsovskikh vozmuschenii gaussovskikh polei, Preprint IPPI AN SSSR, IPPI AN SSSR, M., 1986

[5] Malyshev V. A., “Semiinvarianty nelokalnykh funktsionalov gibbsovskikh sluchainykh polei”, Matem. zam., 34:3 (1983), 443–452 | MR | Zbl

[6] Park Y. M., J. Stat. Phys., 27:3 (1982), 553–576 | DOI | MR | Zbl

[7] Preston C., Gibbs Fields, Lecture Notes in Math., 534, eds. A. Dold, B. Ecmann, Springer-Verlag, 1976 | DOI | MR | Zbl

[8] Dobrushin R. L., Shlosman S. B., Problema ustoichivosti osnovnykh sostoyanii, Preprint IPPI AN SSSR, IPPI AN SSSR, M., 1984; Dobrushin R. L., Shlosman S. B., Phys. Rev. C, 5 (1986)