Linear drift and entropy for regular covers

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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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