Geometric growth for Anosov maps on the $3$ torus
Dynamical Systems
2018-02-22 v2
Abstract
We prove that for Anosov maps of the -torus if the Lyapunov exponents of absolutely continuous measures in every direction are equal to the geometric growth of the invariant foliations then is conjugated to his linear part.
Cite
@article{arxiv.1705.08860,
title = {Geometric growth for Anosov maps on the $3$ torus},
author = {Mauricio Poletti},
journal= {arXiv preprint arXiv:1705.08860},
year = {2018}
}
Comments
To appear in Bulletin of the Brazilian Mathematical Society