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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Preprints, Working Papers, ...
2009

Cited literature [22 references]

https://hal.archives-ouvertes.fr/hal-00422612
Contributor : Francois Ledrappier <>
Submitted on : Wednesday, October 7, 2009 - 7:32:01 PM
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• HAL Id : hal-00422612, version 1
• ARXIV : 0910.1425

Citation

François Ledrappier. Linear drift and entropy for regular covers. 2009. 〈hal-00422612〉

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