Abstract
We consider a regular Riemannian cover \({\widetilde{M}}\) of a compact Riemannian manifold. The linear drift ℓ and the Kaimanovich entropy h are geometric invariants defined by asymptotic properties of the Brownian motion on \({\widetilde{M}}\). We show that ℓ ≤ h.
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Ledrappier, F. Linear Drift and Entropy for Regular Covers. Geom. Funct. Anal. 20, 710–725 (2010). https://doi.org/10.1007/s00039-010-0080-9
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DOI: https://doi.org/10.1007/s00039-010-0080-9