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Mat. Sb. (N.S.), 1974, Volume 94(136), Number 1(5), Pages 16–48 (Mi msb3631)  

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


Abstract: 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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English version:
Mathematics of the USSR-Sbornik, 1974, 23:1, 13–44

Bibliographic databases:

UDC: 519.272
MSC: Primary 82A25; Secondary 60G50, 60J25
Received: 27.12.1972

Citation: 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

Citation in format AMSBIB
\Bibitem{Dob74}
\by R.~L.~Dobrushin
\paper Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 94(136)
\issue 1(5)
\pages 16--48
\mathnet{http://mi.mathnet.ru/msb3631}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=416406}
\zmath{https://zbmath.org/?q=an:0321.60086}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 1
\pages 13--44
\crossref{https://doi.org/10.1070/SM1974v023n01ABEH001712}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Malyshev, “Cluster expansions in lattice models of statistical physics and the quantum theory of fields”, Russian Math. Surveys, 35:2 (1980), 1–62  mathnet  crossref  mathscinet  adsnasa  isi
    2. H Spohn, J Phys A Math Gen, 19:4 (1986), 533  crossref  mathscinet  adsnasa
    3. Herbert Spohn, “Effective mass of the polaron: A functional integral approach”, Annals of Physics, 175:2 (1987), 278  crossref
    4. 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  mathnet  crossref  mathscinet  isi
    5. Volker Betz, Herbert Spohn, “A central limit theorem for Gibbs measures relative to Brownian motion”, Probab Theory Relat Fields, 131:3 (2005), 459  crossref  mathscinet  zmath  isi  elib
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
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