Eventually dendric shift spaces

Author:

DOLCE FRANCESCOORCID,PERRIN DOMINIQUE

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference22 articles.

1. [17] Durand, F. and Leroy, J. . Decidability of the isomorphism and the factorization between minimal substitution subshifts, Preprint, 2018, arXiv:1806.04891.

2. Bifix codes and interval exchanges

3. Complexité et facteurs spéciaux

4. Specular sets

5. Ergodic Theory

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