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Aperiodic sequences and aperiodic geodesics

Published online by Cambridge University Press:  14 March 2013

VIKTOR SCHROEDER  and
STEFFEN WEIL
VIKTOR SCHROEDER
Affiliation:
Institut für Mathematik, Mathematisch-naturwissenschaftliche Fakultät, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland email [email protected]@math.uzh.ch
STEFFEN WEIL
Affiliation:
Institut für Mathematik, Mathematisch-naturwissenschaftliche Fakultät, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland email [email protected]@math.uzh.ch
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 5 , October 2014 , pp. 1699 - 1723
Copyright
Copyright ©2013 Cambridge University Press 

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