A linear version of Dawson-Gärtner's theorem

preprint2011arXivOpen access

Abstract

We prove a linear version of Dawson-Gärtner's theorem saying that weak large deviations principles and the equivalence of ensembles are preserved through linear projective limits. ----- Nous démontrons une version linéaire du théorème de Dawson-Gärtner assurant que les principes de grandes déviations faibles et l'équivalence d'ensemble sont conservés par passage aux limites projectives d'espaces vectoriels.

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