A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem

Details A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem

2011-03-22

arxiv.org/abs/1103.4420v1

Mathematics

Probability

22 pages, in french

Scientific paper

We give a proof of the identification between the entropy and the opposite of the Fenchel-Legendre transform of the pressure for asymptotically decoupled fields relying on Mosco's theorem. ----- Nous d\'emontrons l'identification entre l'entropie et l'oppos\'ee de la transform\'ee de Fenchel-Legendre de la pression pour les champs asymptotiquement d\'ecoupl\'es \`a partir du th\'eor\`eme de Mosco.

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