Strong convexity of the pressure for lattice systems of classical statistical physics
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 2, pp. 223-234
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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.
@article{TMF_1974_20_2_a8,
author = {R. L. Dobrushin and B. S. Nakhapetian},
title = {Strong convexity of the pressure for lattice systems of classical statistical physics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {223--234},
publisher = {mathdoc},
volume = {20},
number = {2},
year = {1974},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a8/}
}
TY - JOUR AU - R. L. Dobrushin AU - B. S. Nakhapetian TI - Strong convexity of the pressure for lattice systems of classical statistical physics JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1974 SP - 223 EP - 234 VL - 20 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a8/ LA - ru ID - TMF_1974_20_2_a8 ER -
%0 Journal Article %A R. L. Dobrushin %A B. S. Nakhapetian %T Strong convexity of the pressure for lattice systems of classical statistical physics %J Teoretičeskaâ i matematičeskaâ fizika %D 1974 %P 223-234 %V 20 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1974_20_2_a8/ %G ru %F TMF_1974_20_2_a8
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/