Univoque Numbers and Automatic Sequences

DOI10.1007/978-0-8176-4888-6_24zbMath1220.68075OpenAlexW2281038169MaRDI QIDQ2997653

Jean-Paul Allouche, Zhi Xiong Wen

Publication date: 9 May 2011

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4888-6_24

zbMATH Keywords

binary sequencesunivoque basesiteration of unimodal continuous functionsThue-Morse-like sequences

Mathematics Subject Classification ID

Combinatorics on words (68R15) Special sequences and polynomials (11B83) Dynamical systems involving maps of the interval (37E05) Automata sequences (11B85)

Cites Work

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• On the topological structure of univoque sets
• A property of algebraic univoque numbers
• Unique expansions of real numbers
• A generalization of automatic sequences
• Subexpansions, superexpansions and uniqueness properties in non-integer bases
• Non-integer bases, iteration of continuous real maps, and an arithmetic self-similar set
• Periodicity, repetitions, and orbits of an automatic sequence
• The Komornik-Loreti Constant Is Transcendental
• On the real roots of generalized Thue–Morse polynomials
• Periodic unique beta-expansions: the Sharkovskiĭ ordering
• On univoque Pisot numbers
• A note on univoque self-Sturmian numbers
• Univoque numbers and an avatar of Thue–Morse
• The spectrum of dynamical systems arising from substitutions of constant length
• Unique Developments in Non-Integer Bases
• Automatic Sequences
• A property ofm-tuplings morse sequence
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
• Étude de la classification topologique des fonctions unimodales. (Study of the topological classification of unimodal functions)

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