46 citations · 164 across the 25 of their papers we have counts for
5 papers · 2 filters
A characterization of annularity for area-preserving toral homeomorphisms
Nancy Guelman, Andres Koropecki, Fabio Armando Tal
We prove that if an area-preserving homeomorphism of the torus in the homotopy class of the identity has a rotation set which is a nondegenerate vertical segment containing the ori…
Rotation sets with nonempty interior and transitivity in the universal covering
Nancy Guelman, Andres Koropecki, Fabio Armando Tal
Let be a transitive homeomorphism of the two-dimensional torus in the homotopy class of the identity. We show that a lift of to the universal covering is transitive if and…
Area-preserving irrotational diffeomorphisms of the torus with sublinear diffusion
Andres Koropecki, Fabio Armando Tal
We construct a area-preserving diffeomorphism of the two-dimensional torus which is Bernoulli (in particular, ergodic) with respect to Lebesgue measure, homotopic to the…
Ergodicity and annular homeomorphisms of the torus
Renato B. Bortolatto, Fabio A. Tal
Let be a homeomorphism homotopic to the identity and a lift of such that the rotation set is a line…
Strictly Toral Dynamics
Andres Koropecki, Fabio Armando Tal
This article deals with nonwandering (e.g. area-preserving) homeomorphisms of the torus which are homotopic to the identity and strictly toral, in the sense that the…