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arxiv: 0802.0644 · v4 · submitted 2008-02-05 · 🧮 math.SP · math.PR

Semi-classical analysis of a random walk on a manifold

classification 🧮 math.SP math.PR
keywords manifoldrandomwalkanalysisassociatedcompactconvergencedetailed
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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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