R.–On établit une formule de la dimension de la mesure harmonique d'une marche aléatoire
de loi de support fini et symétrique sur un groupe hyperbolique. On caractérise aussi les lois …

We show the exact dimensionality of harmonic measures associated with random walks on
groups acting on a hyperbolic space under a finite first moment condition, and establish the …

In this paper we study asymptotic properties of symmetric and nondegenerate random walks
on transient hyperbolic groups. We prove a central limit theorem and a law of iterated …

We present recent results about the asymptotic behavior of ergodic products of isometries of
a metric space X. If we assume that the displacement is integrable, then either there is a …

The Lie group Sol (p, q) is the semidirect product induced by the action of \mathbbR on
\mathbbR^2 which is given by (x, y)↦(e pz x, e− qz y), z∈\mathbbR. Viewing Sol (p, q) as a …

LINEAR DRIFT AND ENTROPY FOR REGULAR COVERS François Ledrappier Page 1
LINEAR DRIFT AND ENTROPY FOR REGULAR COVERS François Ledrappier Abstract. We …

In this paper, we study the dynamics of Riccati foliations over noncompact finite volume
Riemann surfaces. More precisely, we are interested in two closely related questions: the …

Consider a Riccati foliation whose monodromy representation is non-elementary and
parabolic and consider a non-invariant section of the fibration whose associated developing …

We introduce the notion of a stationary random manifold and develop the basic entropy
theory for it. Examples include manifolds admitting a compact quotient under isometries and …

Outline of lectures given at the meeting Probabilistic and Dynamical Properties of (semi)%
group Actions, held at Universidad de Santiago de Chile, January 2008, and at Wrocław …