Imperial College London
Portrait Picture

Professor Xue-Mei Li

Faculty of Natural Sciences, Department of Mathematics

Chair in Probability and Stochastic Analysis
 
 
 
//

Contact

 

+44 (0)20 7594 3709xue-mei.li Website CV

 
 
//

Location

 

6M51Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Chen:2010:10.1007/s00440-010-0308-5,
author = {Chen, X and Li, X-M and Wu, B},
doi = {10.1007/s00440-010-0308-5},
journal = {Probability Theory and Related Fields},
pages = {559--590},
title = {A concrete estimate for the weak Poincaré inequality on loop space},
url = {http://dx.doi.org/10.1007/s00440-010-0308-5},
volume = {151},
year = {2010}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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 a Hilbert space structure and the Ornstein–Uhlenbeck operator dd. We give a concrete estimate for the weak Poincaré inequality, assuming positivity of the Ricci curvature of the underlying manifold. The order of the rate function is s−α for any α > 0.
AU  - Chen,X
AU  - Li,X-M
AU  - Wu,B
DO  - 10.1007/s00440-010-0308-5
EP  - 590
PY  - 2010///
SN  - 1432-2064
SP  - 559
TI  - A concrete estimate for the weak Poincaré inequality on loop space
T2  - Probability Theory and Related Fields
UR  - http://dx.doi.org/10.1007/s00440-010-0308-5
UR  - http://hdl.handle.net/10044/1/54120
VL  - 151
ER  -
Download