34 citations · 181 across the 15 of their papers we have counts for
20 papers
Homotopically unbounded disks for generic surface diffeomorphisms
Salvador Addas-Zanata, Andres Koropecki
In this paper we consider closed orientable surfaces of positive genus and -diffeomorphisms isotopic to the identity (. The main objective is…
On the onset of diffusion in the kicked Harper model
Tobias Jäger, Andres Koropecki, Fabio Armando Tal
We study a standard two-parameter family of area-preserving torus diffeomorphisms, known in theoretical physics as the kicked Harper model, by a combination of topological argument…
A triple boundary lemma for surface homeomorphisms
Andres Koropecki, Patrice Le Calvez, Fabio Armando Tal
Given an orientation-preserving and area-preserving homeomorphism of the sphere, we prove that every point which is in the common boundary of three pairwise disjoint invariant…
A Poincaré-Bendixson theorem for translation lines and applications to prime ends
Andres Koropecki, Alejandro Passeggi
For an orientation-preserving homeomorphism of the sphere, we prove that if a translation line does not accumulate in a fixed point, then it necessarily spirals towards a topologic…
The Franks-Misiurewicz conjecture for extensions of irrational rotations
Andres Koropecki, Alejandro Passeggi, Martín Sambarino
We show that a toral homeomorphism which is homotopic to the identity and topologically semiconjugate to an irrational rotation of the circle is always a pseudo-rotation (i.e. its…
Stability of the rotation set of area-preserving toral homeomorphisms
Pierre-Antoine Guihéneuf, Andres Koropecki
We show that if the rotation set of a homeomorphism of the torus is stable under small perturbations of the dynamics, then it is a convex polygon with rational vertices. We also sh…