12 citations · 15 across the 3 of their papers we have counts for
3 papers
math.DS2022★ 2 cited
Transitivity and the existence of horseshoes on the 2-torus
Pollyanna Vicente Nunes, Fabio Armando Tal
We study the relationship between transitivity and topological chaos for homeomorphisms of the two torus. We show that if a transitive homeomorphism of is homotopic…
math.DS2014★ 1 cited
Irrational rotation factors for conservative torus homeomorphisms
T. Jäger, F. A. Tal
We provide an equivalent characterisation for the existence of one-dimensional irrational rotation factors of conservative torus homeomorphisms that are not eventually annular. It…
math.DS2012★ 12 cited
Bounded and unbounded behavior for area-preserving rational pseudo-rotations
Andres Koropecki, Fabio Armando Tal
A rational pseudo-rotation of the torus is a homeomorphism homotopic to the identity with a rotation set consisting of a single vector of rational coordinates. We give a cl…