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Teoreticheskaya i Matematicheskaya Fizika, 1974, Volume 20, Number 2, Pages 223–234 (Mi tmf3817)  
This article is cited in 15 scientific papers (total in 15 papers)

Strong convexity of the pressure for lattice systems of classical statistical physics

R. L. Dobrushin, B. S. Nakhapetian
Full-text PDF (1154 kB) Citations (15)
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Abstract: It is shown that the pressure is strongly convex as a function of the potential and regarded as an element of a Banach space for a large class of lattice systems. It follows from this that the second derivatives with respect to all parameters do not vanish.
Received: 16.07.1973
English version:
Theoretical and Mathematical Physics, 1974, Volume 20, Issue 2, Pages 782–790
DOI: https://doi.org/10.1007/BF01037331
Bibliographic databases:
Language: Russian
Citation: R. L. Dobrushin, B. S. Nakhapetian, “Strong convexity of the pressure for lattice systems of classical statistical physics”, TMF, 20:2 (1974), 223–234; Theoret. and Math. Phys., 20:2 (1974), 782–790
Citation in format AMSBIB
\Bibitem{DobNak74}
\by R.~L.~Dobrushin, B.~S.~Nakhapetian
\paper Strong convexity of the pressure for lattice systems of classical statistical physics
\jour TMF
\yr 1974
\vol 20
\issue 2
\pages 223--234
\mathnet{http://mi.mathnet.ru/tmf3817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468967}
\zmath{https://zbmath.org/?q=an:0311.60063}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 20
\issue 2
\pages 782--790
\crossref{https://doi.org/10.1007/BF01037331}
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  • https://www.mathnet.ru/eng/tmf/v20/i2/p223
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:298
    Full-text PDF :103
    References:40
    First page:1
     
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