Aperiodic sequences and aperiodic geodesics

作者:Schroeder Viktor*; Weil Steffen
来源:Ergodic Theory and Dynamical Systems, 2014, 34(05): 1699-1723.
DOI:10.1017/etds.2013.2

摘要

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.

  • 出版日期2014-10