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

Pierre Petit

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arXiv · 1103.4420

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

Pierre Petit

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Abstract

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 démontrons l'identification entre l'entropie et l'opposée de la transformée de Fenchel-Legendre de la pression pour les champs asymptotiquement découplés à partir du théorème de Mosco.

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Pierre Petit. 2011-03-22. A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem. https://arxiv.org/abs/1103.4420

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