16 citations · 87 across the 12 of their papers we have counts for
15 papers
Periodic point free homeomorphisms and irrational rotation factors
Alejandro Kocsard
We provide a complete characterization of periodic point free homeomorphisms of the -torus admitting irrational circle rotations as topological factors. Given a homeomorphism of…
Livsic theorem for diffeomorphism cocycles
Artur Avila, Alejandro Kocsard, Xiao-Chuan Liu
We prove the so called Livšic theorem for cocycles taking values in the group of $C^{1+β}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypot…
Rotational deviations and invariant pseudo-foliations for periodic point free torus homeomorphisms
Alejandro Kocsard, Fernanda Pereira-Rodrigues
This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that und…
On the dynamics of minimal homeomorphisms of which are not pseudo-rotations
Alejandro Kocsard
We prove that any minimal -torus homeomorphism which is isotopic to the identity and whose rotation set is not just a point exhibits uniformly bounded rotational deviations on t…
The Burnside problem for
Sebastian Hurtado, Alejandro Kocsard, Federico Rodríguez-Hertz
Let be a closed surface and be the group of volume preserving diffeomorphisms of . A finitely generated group is periodic of bounded expone…
The geodesic flow on nilmanifolds
Alejandro Kocsard, Gabriela P. Ovando, Silvio Reggiani
In this paper we study the geodesic flow on nilmanifolds equipped with a left-invariant metric. We write the underlying definitions and find general formulas for the Poisson involu…