A linear version of Dawson-Gärtner's theorem

Details A linear version of Dawson-Gärtner's theorem A linear version of Dawson-Gärtner's theorem

2011-03-22

arxiv.org/abs/1103.4417v1

Mathematics

Probability

21 pages, in french

Scientific paper

We prove a linear version of Dawson-G\"artner's theorem saying that weak large deviations principles and the equivalence of ensembles are preserved through linear projective limits. ----- Nous d\'emontrons une version lin\'eaire du th\'eor\`eme de Dawson-G\"artner assurant que les principes de grandes d\'eviations faibles et l'\'equivalence d'ensemble sont conserv\'es par passage aux limites projectives d'espaces vectoriels.

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