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Topological orbit equivalence classes and numeration scales of logistic maps

Published online by Cambridge University Press:  01 November 2011

MARÍA ISABEL CORTEZ  and
JUAN RIVERA-LETELIER
MARÍA ISABEL CORTEZ
Affiliation:
Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Av. Libertador Bernardo O’Higgins 3363, Santiago, Chile (email: maria.cortez@usach.cl)
JUAN RIVERA-LETELIER
Affiliation:
Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna 4860, Santiago, Chile (email: riveraletelier@mat.puc.cl)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 5: Daniel J. Rudolph – in Memoriam , October 2012 , pp. 1501 - 1526
Copyright
Copyright © Cambridge University Press 2011

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