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This article is cited in 3 scientific papers (total in 3 papers)
Strong convexity of the pressure for lattice systems of classical statistical physics
R. L. Dobrushin, B. S. Nakhapetian
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.
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Theoretical and Mathematical Physics, 1974, 20:2, 782–790
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Received: 16.07.1973
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://www.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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http://mi.mathnet.ru/eng/tmf3817 http://mi.mathnet.ru/eng/tmf/v20/i2/p223
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This publication is cited in the following articles:
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V. A. Arzumanian, B. S. Nakhapetian, S. K. Pogosyan, “Local limit theorem for the particle number in spin lattice systems”, Theoret. and Math. Phys., 89:2 (1991), 1138–1146
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B. S. Nakhapetian, S. K. Pogosyan, “Estimate of convergence rate in local limit theorem for the particle number in spin systems”, Theoret. and Math. Phys., 95:3 (1993), 738–747
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B. S. Nakhapetian, “Strong convexity of pressure for spin lattice systems”, Russian Math. Surveys, 52:2 (1997), 341–347
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