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arXiv 2003.12892math.DS
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Inexistence of sublinear diffusion for a class of torus homeomorphisms

Guilherme Silva Salomão, Fabio Armando Tal

英文摘要:

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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