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bifix decoding

Ergodic Theory and Dynamical Systems (1)

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1 results

Eventually dendric shift spaces
Part of
- Theory of computing
- Topological dynamics
FRANCESCO DOLCE, DOMINIQUE PERRIN
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 7 / July 2021

Published online by Cambridge University Press:

26 May 2020, pp. 2023-2048

Print publication:

July 2021
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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.