16 citations · 147 across the 35 of their papers we have counts for
5 papers · 1 filter
A geometric path from zero Lyapunov exponents to rotation cocycles
Jairo Bochi, Andrés Navas
We consider cocycles of isometries on spaces of nonpositive curvature . We show that the supremum of the drift over all invariant ergodic probability measures equals the infimum…
A Livsic type theorem for germs of analytic diffeomorphisms
Andrés Navas, Mario Ponce
We deal with the problem of the validity of Livsic's theorem for cocycles of diffeomorphisms satisfying the orbit periodic obstruction over an hyperbolic dynamics. We give a result…
Sharp regularity for certain nilpotent group actions on the interval
G. Castro, E. Jorquera, A. Navas
According to the classical Plante-Thurston Theorem, all nilpotent groups of -diffeomorphisms of the closed interval are Abelian. Using techniques coming from the works of Denj…
An L^1 ergodic theorem with values in a nonpositively curved space via a canonical barycenter map
Andrés Navas
We extend a recent result of Tim Austin (see arXiv:0905.0515) to the L^1 setting, thus providing a general version of the Birkhoff ergodic theorem for functions taking values in no…
On the dynamics of non-reducible cylindrical vortices
D. Coronel, A. Navas, M. Ponce
We study skew-maps given by a minimal homeomorphism on the basis and a cocycle of affine isometries on the fibers. We call such a map a cylindrical vortex. We extend to this settin…