29 citations · 83 across the 16 of their papers we have counts for
19 papers
Invariance Principle and dynamics
François Ledrappier
This is a survey of some invariances that arise in dynamical systems theory in the presence of zero Lyapunov exponents.
Exact dimension of Furstenberg measures
Francois Ledrappier, Pablo Lessa
For a probability measure on SL d (R), we consider the Furstenberg stationary measure on the space of flags. Under general non-degeneracy conditions, if is discrete and if…
The regularity of the linear drift in negatively curved spaces
François Ledrappier, Lin Shu
We show the linear drift of the Brownian motion on the universal cover of a closed connected Riemannian manifold is differentiable along any curve in the manifold…
Regularity of the drift and entropy of random walks on groups
Lorenz A. Gilch, François Ledrappier
Random walks on a group model many natural phenomena. A random walk is defined by a probability measure on . We are interested in asymptotic properties of the random wal…
Ergodic properties of equilibrium measures for smooth three dimensional flows
François Ledrappier, Yuri Lima, Omri Sarig
Let be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let be an ergodic measure of maximal ent…
Local Limit Theorem in negative curvature
François Ledrappier, Seonhee Lim
Consider the heat kernel on the universal cover of a Riemannian manifold of negative curvature. We show the local limit theorem for : $$\lim_{t \to \infty} t…