Dobrushin, R. L.; Martirosyan, M. R. Nonfinite perturbations of Gibbs fields. (English) Zbl 1268.60071 Teor. Mat. Fiz. 74, No. 1, 16-28 (1988); translation in Theor. Math. Phys. 74, No. 1, 10-20 (1988). Summary: 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. Cited in 6 Documents MSC: 60G60 Random fields 60K35 Interacting random processes; statistical mechanics type models; percolation theory 82C05 Classical dynamic and nonequilibrium statistical mechanics (general) 82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics × Cite Format Result Cite Review PDF Full Text: DOI