arXiv:1012.0909 Abstract | arXiv Analytics

arXiv:1012.0909 [math.DS]Abstract References Reviews Resources

Transitivity and rotation sets with nonempty interior for homeomorphisms of the 2-Torus

Published 2010-12-04Version 1

We show that, if $f$ is a homeomorphism of the 2--torus isotopic to the identity, and its lift $\widetilde f$ is transitive, or even if it is transitive outside of the lift of the elliptic islands, then $(0,0)$ is in the interior of the rotation set of $\widetilde f.$ This proves a particular case of Boyland's conjecture.

Categories: math.DS

Subjects: 37E45

Keywords: rotation set, nonempty interior, homeomorphism, transitivity

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