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arXiv · 0802.0644

Semi-classical analysis of a random walk on a manifold

Gilles Lebeau·Laurent Michel
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Abstract

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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Gilles Lebeau, Laurent Michel. 2010-02-02. Semi-classical analysis of a random walk on a manifold. https://doi.org/10.1214/09-aop483

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