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Displaying similar documents to “The Lenz shift and wiener sausage in riemannian manifolds”

Brownian motion and transient groups

Nicolas Th. Varopoulos (1983)

Annales de l'institut Fourier

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In this paper I consider M ˜ M a covering of a Riemannian manifold M . I prove that Green’s function exists on M ˜ if any and only if the symmetric translation invariant random walks on the covering group G are transient (under the assumption that M is compact).