Aperiodic Sequences and Aperiodic Geodesics
arXiv:1206.0551 · doi:10.1017/etds.2013.2
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.