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arXiv · 2003.12892

Inexistence of sublinear diffusion for a class of torus homeomorphisms

Guilherme Silva Salomão·Fabio Armando Tal
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Abstract

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.

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Guilherme Silva Salomão, Fabio Armando Tal. 2020-03-28. Inexistence of sublinear diffusion for a class of torus homeomorphisms. https://arxiv.org/abs/2003.12892

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