Imperial College London
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Professor Xue-Mei Li

Faculty of Natural Sciences, Department of Mathematics

Chair in Probability and Stochastic Analysis
 
 
 
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Contact

 

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

 
 
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Location

 

6M51Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Chen:2010:10.1016/j.jfa.2010.05.006,
author = {Chen, X and Li, X-M and Wu, B},
doi = {10.1016/j.jfa.2010.05.006},
journal = {Journal of Functional Analysis},
pages = {1421--1442},
title = {A Poincaré inequality on loop spaces},
url = {http://dx.doi.org/10.1016/j.jfa.2010.05.006},
volume = {259},
year = {2010}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We show that the Laplacian on the loop space over a class of Riemannian manifolds has a spectral gap. The Laplacian is defined using the Levi-Civita connection, the Brownian bridge measure and the standard Bismut tangent spaces.
AU  - Chen,X
AU  - Li,X-M
AU  - Wu,B
DO  - 10.1016/j.jfa.2010.05.006
EP  - 1442
PY  - 2010///
SN  - 0022-1236
SP  - 1421
TI  - A Poincaré inequality on loop spaces
T2  - Journal of Functional Analysis
UR  - http://dx.doi.org/10.1016/j.jfa.2010.05.006
UR  - http://hdl.handle.net/10044/1/54122
VL  - 259
ER  -
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