Semi-classical analysis of a random walk on a manifold
Spectral Theory
2010-02-02 v4 Probability
Abstract
We prove a sharp rate of convergence to stationarity for a natural random walk on a compact Riemannian manifold . The proof includes a detailed study of the spectral theory of the associated operator.
Cite
@article{arxiv.0802.0644,
title = {Semi-classical analysis of a random walk on a manifold},
author = {Gilles Lebeau and Laurent Michel},
journal= {arXiv preprint arXiv:0802.0644},
year = {2010}
}
Comments
Published in at http://dx.doi.org/10.1214/09-AOP483 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)