4 papers
Essential factors for surface homeomorphisms
Alejo García-Sassi, Fábio Tal
Let be a homeomorphism of a closed orientable surface of genus at least one that is isotopic to a pseudo-Anosov homeomorphism, possibly relative to a finite invariant set. We c…
Fully chaotic conservative models for some torus homeomorphisms
Alejo García-Sassi, Fábio Armando Tal
We study homotopic-to-the-identity torus homeomorphisms, whose rotation set has nonempty interior. We prove that any such map is monotonically semiconjugate to a homeomorphism that…
Geodesic tracking and the shape of ergodic rotation sets
Alejo García-Sassi, Pierre-Antoine Guihéneuf, Pablo Lessa
We prove a structure theorem for ergodic homological rotation sets of homeomorphisms isotopic to the identity on a closed orientable hyperbolic surface: this set is made of a finit…
Fixed points for branched covering maps of the plane
Alejo García-Sassi
A well-known result from Brouwer states that any orientation preserving homeomorphism of the plane with no fixed points has an empty non-wandering set. In particular, an invariant…