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Preprints, Working Papers, ... Year : 2009

Linear drift and entropy for regular covers

Abstract

We consider a regular Riemannian cover $\M$ of a compact Riemannian manifold. The linear drift $\ell$ and the Kaimanovich entropy $h$ are geometric invariants defined by asymptotic properties of the Brownian motion on $\M$. We show that $\ell^2 \leq h$.
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hal-00422612 , version 1 (07-10-2009)

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François Ledrappier. Linear drift and entropy for regular covers. 2009. ⟨hal-00422612⟩
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