Inexistence of sublinear diffusion for a class of torus homeomorphisms
Dynamical Systems
2020-03-31 v1
Abstract
We prove that, if is a homeomorphism of the two torus isotopic to the identity whose rotation set is a non-degenerate segment and has a periodic point, then it has uniformly bounded deviations in the direction perpendicular to the segment.
Cite
@article{arxiv.2003.12892,
title = {Inexistence of sublinear diffusion for a class of torus homeomorphisms},
author = {Guilherme Silva Salomão and Fabio Armando Tal},
journal= {arXiv preprint arXiv:2003.12892},
year = {2020}
}