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Eventually dendric shift spaces

Published online by Cambridge University Press:  26 May 2020

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

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.

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Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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