Topological orbit equivalence classes and numeration scales of logistic maps

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Date
2012
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Publisher
CAMBRIDGE UNIV PRESS
Abstract
We show that every uniquely ergodic minimal Cantor system is topologically orbit equivalent to the natural extension of a numeration scale associated to a logistic map.
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Keywords
CANTOR MINIMAL SYSTEMS, INVARIANT-MEASURES, DIMENSION GROUPS, TOEPLITZ FLOWS, ODOMETERS
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