A Concrete Estimate For The Weak Poincare Inequality On Loop Space
Probability
2016-05-09 v1 Functional Analysis
Abstract
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with the Hilbert space structure induced by Mallianvin calculus and the induced Ornstein- Uhlenbeck operator. We give a concrete estimate for the weak Poincare inequality for the O-U Dirichlet form on loop space over simply connected compact Riemannian manifold with strict positive Ricci curvature.
Keywords
Cite
@article{arxiv.0910.4846,
title = {A Concrete Estimate For The Weak Poincare Inequality On Loop Space},
author = {Xin Chen and Xue-Mei Li and Bo Wu},
journal= {arXiv preprint arXiv:0910.4846},
year = {2016}
}