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arXiv:2003.12892 [math.DS]AbstractReferencesReviewsResources

Inexistence of sublinear diffusion for a class of torus homeomorphisms

Guilherme Silva Salomão, Fabio Armando Tal

Published 2020-03-28Version 1

We prove that, if $f$ is a homeomorphism of the two torus isotopic to the identity whose rotation set is a non-degenerate segment and $f$ has a periodic point, then it has uniformly bounded deviations in the direction perpendicular to the segment.

Categories: math.DS
Subjects: 37E30, 37E45
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