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Infinite interval exchange transformations from shifts

Published online by Cambridge University Press:  12 May 2016

LUIS-MIGUEL LOPEZ  and
PHILIPPE NARBEL
LUIS-MIGUEL LOPEZ
Affiliation:
Tokyo University of Social Welfare, Isesaki, 372-0831 Gunma, Japan email [email protected]
PHILIPPE NARBEL
Affiliation:
LaBRI, University of Bordeaux, 33405 Talence, France email [email protected]
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Abstract

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We show that minimal shifts with zero topological entropy are topologically conjugate to interval exchange transformations, which are generally infinite. When these shifts have linear factor complexity (linear block growth), the conjugate interval exchanges are proved to satisfy strong finiteness properties.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 6 , September 2017 , pp. 1935 - 1965
Copyright
© Cambridge University Press, 2016 

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