Heat kernel analysis on semi-infinite Lie groups
Probability
2009-02-17 v1 Differential Geometry
Abstract
This paper studies Brownian motion and heat kernel measure on a class of infinite dimensional Lie groups. We prove a Cameron-Martin type quasi-invariance theorem for the heat kernel measure and give estimates on the norms of the Radon-Nikodym derivatives. We also prove that a logarithmic Sobolev inequality holds in this setting.
Cite
@article{arxiv.0902.2500,
title = {Heat kernel analysis on semi-infinite Lie groups},
author = {Tai Melcher},
journal= {arXiv preprint arXiv:0902.2500},
year = {2009}
}
Comments
35 pages