arXiv Analytics

Sign in

arXiv:1611.05498 [math.DS]AbstractReferencesReviewsResources

The Franks-Misiurewicz conjecture for extensions of irrational rotations

Andres Koropecki, Alejandro Passeggi, Martín Sambarino

Published 2016-11-16Version 1

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.

Comments: 13 pages
Categories: math.DS
Subjects: 37E45, 37E30
Related articles: Most relevant | Search more
arXiv:0802.4187 [math.DS] (Published 2008-02-28, updated 2008-04-29)
The concept of bounded mean motion for toral homeomorphisms
arXiv:0711.4728 [math.DS] (Published 2007-11-29, updated 2009-04-25)
Rotation set and Entropy
arXiv:1208.0859 [math.DS] (Published 2012-08-03, updated 2013-07-09)
Rotation sets with nonempty interior and transitivity in the universal covering

Links

Toolbox