Geodesic
Strong convexity of the pressure for lattice systems of classical statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 223-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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R. L. Dobrushin; B. S. Nakhapetian. Strong convexity of the pressure for lattice systems of classical statistical physics. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 223-234. http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a8/

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