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arXiv · 1611.05498

The Franks-Misiurewicz conjecture for extensions of irrational rotations

Andres Koropecki·Alejandro Passeggi·Martín Sambarino
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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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Andres Koropecki, Alejandro Passeggi, Martín Sambarino. 2016-11-16. The Franks-Misiurewicz conjecture for extensions of irrational rotations. https://arxiv.org/abs/1611.05498

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