26 citations · 26 across the 4 of their papers we have counts for
4 papers
Dimension gap and variational principle for Anosov representations
François Ledrappier, Pablo Lessa
We consider a representation of a finitely generated CAT(--K) group in SL(d, R) that is Zariski dense and k-Anosov for at least two values of k. We exhibit a gap for the Minkow…
Entropies for negatively curved manifolds
François Ledrappier, Lin Shu
We survey several notions of entropy related to a compact manifold of negative curvature, some relations between them, and the rigidity problems.
A family of stable diffusions
François Ledrappier, Lin Shu
Consider a closed connected Riemannian manifold with negative curvature. The unit tangent bundle is foliated by the (weak) stable foliation $\mathcal{W}^…
On laws of large numbers for random walks
Anders Karlsson, François Ledrappier
We prove a general noncommutative law of large numbers. This applies in particular to random walks on any locally finite homogeneous graph, as well as to Brownian motion on Riemann…