Aperiodic Sequences and Aperiodic Geodesics
classification
🧮 math.DS
math.DGmath.MG
keywords
aperiodicconditiongeodesicssequencesaperiodicitybernoulli-shiftcloseddynamical
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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.
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