Some remarks on invertible substitutions on three letter alphabet.

DOI10.1007/BF02886152zbMath1040.20504MaRDI QIDQ1428885

Zhi Xiong Wen, Yi-Ping Zhang

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

free semigroupsmonoids of invertible substitutions

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05)

Related Items (12)

The structure of invertible substitutions on a three-letter alphabet ⋮ Substitutions with cofinal fixed points ⋮ Episturmian words: a survey ⋮ On stabilizers of infinite words ⋮ On the triplex substitution -- combinatorial properties ⋮ A presentation of a finitely generated submonoid of invertible endomorphisms of the free monoid ⋮ A characterization of fine words over a finite alphabet ⋮ Rigidity and Substitutive Dendric Words ⋮ Directive words of episturmian words: equivalences and normalization ⋮ Some algorithms to compute the conjugates of Episturmian morphisms ⋮ The structure of invertible substitutions on a three-letter alphabet ⋮ Invertible substitutions on a three-letter alphabet.

Cites Work

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• Substitution dynamical systems - spectral analysis
• Polynomials associated with endomorphisms of free groups
• Sturmian morphisms and Rauzy's rules
• THE THUE-MORSE APERIODIC CRYSTAL, A LINK BETWEEN THE FIBONACCI QUASICRYSTAL AND THE PERIODIC CRYSTAL
• A natural class of generalized Fibonacci chains
• The nature of the atomic surfaces of quasiperiodic self-similar structures

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