SMALL TIME ASYMPTOTICS FOR BROWNIAN MOTION WITH SINGULAR DRIFT

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TitreSMALL TIME ASYMPTOTICS FOR BROWNIAN MOTION WITH SINGULAR DRIFT
Type de publicationJournal Article
Year of Publication2019
AuteursChen Z-Q, Fang S, Zhang T
JournalPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume147
Pagination3567-3578
Date PublishedAUG
Type of ArticleArticle
ISSN0002-9939
Mots-clésHeat kernel, Kato class measure, small time asymptotics, small time large deviation
Résumé

We establish a small time large deviation principle and a Varadhan type asymptotics for Brownian motion with singular drift on R-d with d >= 3 whose infinitesimal generator is 1/2 Delta + mu center dot del, where each mu(i) of mu = (mu(1), . . . , mu(d)) is a measure in some suitable Kato class.

DOI10.1090/proc/14511