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Inexistence of sublinear diffusion for a class of torus homeomorphisms

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.

preprint2020arXivOpen access
Guilherme Silva SalomãoFabio Armando Tal
math.DS
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Guilherme Silva SalomãoFabio Armando Tal

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