The Franks-Misiurewicz conjecture for extensions of irrational rotations
Dynamical Systems
2016-11-18 v1
Abstract
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 rotation set is a single point). In combination with recent results, this allows us to complete the study of the Franks-Misiurewicz conjecture in the minimal case.
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Cite
@article{arxiv.1611.05498,
title = {The Franks-Misiurewicz conjecture for extensions of irrational rotations},
author = {Andres Koropecki and Alejandro Passeggi and Martín Sambarino},
journal= {arXiv preprint arXiv:1611.05498},
year = {2016}
}
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13 pages