Rotation sets with nonempty interior and transitivity in the universal covering
Dynamical Systems
2021-02-22 v2
Abstract
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 only if the rotation set of the lift contains the origin in its interior.
Cite
@article{arxiv.1208.0859,
title = {Rotation sets with nonempty interior and transitivity in the universal covering},
author = {Nancy Guelman and Andres Koropecki and Fabio Armando Tal},
journal= {arXiv preprint arXiv:1208.0859},
year = {2021}
}
Comments
11 pages, 4 figures. Incorporates referee's corrections. To appear in Ergod. Th. & Dynam. Syst