Non-injectivity of infinite interval exchange transformations and generalized Thue-Morse sequences

DOI10.3934/dcds.2023048zbMath1525.37015arXiv2304.09523OpenAlexW4378376792MaRDI QIDQ6165955

Luis-Miguel Lopez, Philippe Narbel

Publication date: 2 August 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.09523

zbMATH Keywords

symbolic dynamicsinterval exchange transformationsubstitutionsubshift

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Symbolic dynamics (37B10) Multidimensional shifts of finite type (37B51)

Cites Work

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• A dynamical system approach to the Kakutani–Fibonacci sequence
• Generalized Thue-Morse words and palindromic richness
• Factor frequencies in generalized Thue-Morse words
• Sequences of low arithmetical complexity
• Automatic Sequences
• Infinite interval exchange transformations from shifts
• Interval exchange transformations

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