29 citations · 83 across the 16 of their papers we have counts for
5 papers · 1 filter
Noncommutative Ergodic Theorems
Anders Karlsson, François Ledrappier
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 i…
Volume entropy rigidity of non-positively curved symmetric spaces
Francois Ledrappier
We characterize symmetric spaces of non-positive curvature by the equality case of general inequalities between geometric quantities
Regularity of the entropy for random walks on hyperbolic groups
François Ledrappier
We consider nondegenerate, finitely supported random walks on a finitely generated Gromov hyperbolic group. We show that the entropy and the escape rate are Lipschitz functions of…
Singularity of projections of 2-dimensional measures invariant under the geodesic flow
Risto Hovila, Esa Järvenpää, Maarit Järvenpää +1
We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to t…
Besicovitch-Federer projection theorem and geodesic flows on Riemann surfaces
Risto Hovila, Esa Järvenpää, Maarit Järvenpää +1
We extend the Besicovitch-Federer projection theorem to transversal families of mappings. As an application we show that on a certain class of Riemann surfaces with constant negati…