This article is cited in 5 scientific papers (total in 5 papers)
Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential
R. L. Dobrushin
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.
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Mathematics of the USSR-Sbornik, 1974, 23:1, 13–44
MSC: Primary 82A25; Secondary 60G50, 60J25
R. L. Dobrushin, “Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential”, Mat. Sb. (N.S.), 94(136):1(5) (1974), 16–48; Math. USSR-Sb., 23:1 (1974), 13–44
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\paper Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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H Spohn, J Phys A Math Gen, 19:4 (1986), 533
Herbert Spohn, “Effective mass of the polaron: A functional integral approach”, Annals of Physics, 175:2 (1987), 278
R. L. Dobrushin, M. R. Martirosyan, “Possibility of high-temperature phase transitions due to the many-particle nature of the potential”, Theoret. and Math. Phys., 75:2 (1988), 443–448
Volker Betz, Herbert Spohn, “A central limit theorem for Gibbs measures relative to Brownian motion”, Probab Theory Relat Fields, 131:3 (2005), 459
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