Aperiodic Sequences and Aperiodic Geodesics
Dynamical Systems
2019-02-20 v1 Differential Geometry
Metric Geometry
Abstract
We introduce a quantitative condition on orbits of dynamical systems which measures their aperiodicity. We show the existence of sequences in the Bernoulli-shift and geodesics on closed hyperbolic manifolds which are as aperiodic as possible with respect to this condition.
Keywords
Cite
@article{arxiv.1206.0551,
title = {Aperiodic Sequences and Aperiodic Geodesics},
author = {Viktor Schroeder and Steffen Weil},
journal= {arXiv preprint arXiv:1206.0551},
year = {2019}
}