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Eventually dendric shift spaces

Part of: Theory of computing Topological dynamics

Published online by Cambridge University Press:  26 May 2020

FRANCESCO DOLCE Open the ORCID record for FRANCESCO DOLCE [Opens in a new window]  and
DOMINIQUE PERRIN
FRANCESCO DOLCE
Affiliation:
FNSPE, Czech Technical University in Prague—Trojanova 13, 120 00Praha 2, Czech Republic email francesco.dolce@fjfi.cvut.cz
DOMINIQUE PERRIN
Affiliation:
LIGM, Université Gustave Eiffel, France email dominique.perrin@esiee.fr
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Abstract

We define a new class of shift spaces which contains a number of classes of interest, like Sturmian shifts used in discrete geometry. We show that this class is closed under two natural transformations. The first one is called conjugacy and is obtained by sliding block coding. The second one is called the complete bifix decoding, and typically includes codings by non-overlapping blocks of fixed length.

Keywords

symbolic dynamicsconjugacybifix decoding

MSC classification

Primary: 37B10: Symbolic dynamics 68Q45: Formal languages and automata
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 7 , July 2021 , pp. 2023 - 2048
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Copyright
© The Author(s) 2020. Published by Cambridge University Press

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