Some problems on stochastic analysis on path and loop spaces

In the thesis, some problems on the stochastic analysis on path and loop space over manifold are studied. In particular, in the 2nd Chapter, the Poincaré inequality for O-U Dirichlet form and pinned Wiener measure on loop space over hyperbolic space is proved and some weighted inequalities for othe...

Full description

Bibliographic Details
Main Author: Chen, Xin
Published: University of Warwick 2011
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.560146