3 citations · 7 across the 9 of their papers we have counts for
13 papers
Dimension drop of harmonic measure for some finite range random walks on Fuchsian Schottky groups
Ernesto García, Pablo Lessa
We prove that the harmonic measures of certain finite range random walks on Fuchsian Schottky groups, have dimension strictly smaller than the Hausdorff dimension of the correspond…
Random walk speed is a proper function on Teichmüller space
Aitor Azemar, Vaibhav Gadre, Sébastien Gouëzel +3
Consider a closed surface with negative Euler characteristic, and an admissible probability measure on the fundamental group of with finite first moment. Corresponding to e…
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…
Fold maps associated to geodesic random walks on non-positively curved manifolds
Pablo Lessa, Lucas Oliveira
We study a family of mappings from the powers of the unit tangent sphere at a point to a complete Riemannian manifold with non-positive sectional curvature, whose behavior is relat…
On the speed of distance stationary sequences
Matias Carrasco, Pablo Lessa, Elliot Paquette
We prove a formula for the speed of distance stationary random sequences generalizing the law of large numbers of Karlsson and Ledrappier. A particular case is the classical formul…
On the discretness of states accessible via right-angled paths in hyperbolic space
Ernesto Garcia, Pablo Lessa
We consider the control problem where, given an orthonormal tangent frame in the hyperbolic plane or three dimensional hyperbolic space, one is allowed to transport the frame a fix…