Geodesic
Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential
Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 13-44

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We consider the one-dimensional Gibbs states for one-dimensional lattice and continuous systems where the interaction potential decays according to a power law. It is shown that for such systems the specific free energy and the correlation functions depend analytically on the potential. Bibliography: 18 titles. 
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     author = {R. L. Dobrushin},
     title = {Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential},
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R. L. Dobrushin. Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential. Sbornik. Mathematics, Tome 23 (1974) no. 1, pp. 13-44. http://geodesic.mathdoc.fr/item/SM_1974_23_1_a1/