Linear drift and entropy for regular covers

François Ledrappier (1)

1 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

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 $\ell^2 \leq h$.

Mots clés: Entropy; Riemannian cover

Domaines: Systèmes dynamiques [math.DS]

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