DEL MORAL, Pierre; HU, Shulan; WU, Liming

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Licence d’utilisation du document

DEL MORAL, Pierre
Advanced Learning Evolutionary Algorithms [ALEA]
Institut de Mathématiques de Bordeaux [IMB]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]

HU, Shulan
Department of Statistics

WU, Liming
Chinese Academy of Sciences [Beijing] [CAS]

Langue

Rapport

Ce document a été publié dans

2012-04-15p. 37

Résumé en anglais

This article is concerned with moderate deviation principles of a general class of mean eld type interacting particle models. We discuss functional moderate deviations of the occupation measures for both the strong -topology on the space of fi nite and bounded measures as well as for the corresponding stochastic processes on some class of functions equipped with the uniform topology. Our approach is based on an original semigroup analysis combined with stochastic perturbation techniques and projective limit large deviation methods.< Réduire

Mots clés en anglais

Moderate deviations

interacting particle systems

exponential inequalities

functional central limit theorems

convergence of empirical processes

large deviations for projective limits.

large deviations for projective limits

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251