Algebraic irrational binary numbers cannot be fixed points of non-trivial constant length or primitive morphisms

DOI10.1006/jnth.1997.2207zbMath0918.11016OpenAlexW2015363709MaRDI QIDQ1267296

Luca Q. Zamboni, Jean-Paul Allouche

Publication date: 23 August 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1997.2207

zbMATH Keywords

fixed pointtranscendenceautomatic sequencesrationaltranscendentalbinary expansionalgebraic irrational numbersconstant length morphismprimitive non-trivial morphismsequence of digits

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automata sequences (11B85) Other number representations (11A67)

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Cites Work

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• Substitution dynamical systems - spectral analysis
• A characterization of overlap-free morphisms
• Transcendence of numbers with a low complexity expansion
• The Construction of Decimals Normal in the Scale of Ten

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