Semi-classical analysis of a random walk on a manifold

Details Semi-classical analysis of a random walk on a manifold Semi-classical analysis of a random walk on a manifold

2008-02-05

arxiv.org/abs/0802.0644v4

Annals of Probability 2010, Vol. 38, No. 1, 277-315

Mathematics

Spectral Theory

Published in at http://dx.doi.org/10.1214/09-AOP483 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/09-AOP483

We prove a sharp rate of convergence to stationarity for a natural random
walk on a compact Riemannian manifold $(M,g)$. The proof includes a detailed
study of the spectral theory of the associated operator.

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