A linear version of Dawson-G\"artner's theorem
Probability
2011-03-24 v1
Abstract
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.
Cite
@article{arxiv.1103.4417,
title = {A linear version of Dawson-G\"artner's theorem},
author = {Pierre Petit},
journal= {arXiv preprint arXiv:1103.4417},
year = {2011}
}
Comments
21 pages, in french