文章基本信息

标题：On the Semi-classical Brownian Bridge Measure
本地全文：下载
作者：Xue-Mei Li
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2017
卷号：22
DOI：10.1214/17-ECP69
语种：English
出版社：Electronic Communications in Probability
摘要：We prove an integration by parts formula for the probability measure on the pinned path space induced by the Semi-classical Riemmanian Brownian Bridge, over a manifold with a pole, followed by a discussion on its equivalence with the Brownian Bridge measure.
关键词：Malliavin calculus;pinned path spaces;loop spaces;integration by parts;Poincaré inequality.