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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 1, Pages 13–44
DOI: https://doi.org/10.1070/SM1974v023n01ABEH001712 (Mi sm3631) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential

R. L. Dobrushin
English version PDF (1620 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1974v023n01ABEH001712
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.
Received: 27.12.1972
Bibliographic databases:
UDC: 519.272
MSC: Primary 82A25; Secondary 60G50, 60J25
Language: English
Original paper language: Russian
Citation: R. L. Dobrushin, “Analyticity of the correlation functions for one-dimensional classical systems with power law decay of the potential”, 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 Math. USSR-Sb.
\yr 1974
\vol 23
\issue 1
\pages 13--44
\mathnet{http://mi.mathnet.ru//eng/sm3631}
\crossref{https://doi.org/10.1070/SM1974v023n01ABEH001712}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=416406}
\zmath{https://zbmath.org/?q=an:0321.60086}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:440
    Russian version PDF:129
    English version PDF:30
    References:93
     
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