Wentzel-Freidlin Estimates for an Operator of Order Four

Affiliation auteursAffiliation ok
TitreWentzel-Freidlin Estimates for an Operator of Order Four
Type de publicationConference Paper
Year of Publication2014
AuteursLeandre R
EditorAkhgar B, Arabnia HR
Conference Name2014 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE AND COMPUTATIONAL INTELLIGENCE (CSCI), VOL 1
PublisherAmerican Council Sci & Educ
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number978-1-4799-3009-8
Résumé

We adapt the classical proof of Wentzel-Freidlin estimates for jump processes to the case of an operator of order four. In such a case the generated semi-group is not Markovian. The different rescaling for the considered operator are standard in the theory of semi-classical asymptotics of Maslov and his school [1]. But instead to get precise estimates, we produce large deviation estimates.

DOI10.1109/CSCI.2014.68