On a characteristic property of ARNOUX–RAUZY sequences

DOI10.1051/ita:2003005zbMath1060.68094OpenAlexW2028673456MaRDI QIDQ4405555

Jacques Justin, Giuseppe Pirillo

Publication date: 9 October 2003

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ITA_2002__36_4_385_0

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Related Items (13)

Characterisations of balanced words via orderings ⋮ Powers in a class of \(\mathcal A\)-strict standard episturmian words ⋮ Conjugacy of morphisms and Lyndon decomposition of standard Sturmian words ⋮ Quasiperiodic and Lyndon episturmian words ⋮ Arnoux-Rauzy interval exchanges ⋮ Episturmian words: a survey ⋮ Sturmian and Episturmian Words ⋮ Study of irreducible balanced pairs for substitutive languages ⋮ Characterizations of finite and infinite episturmian words via lexicographic orderings ⋮ A characterization of fine words over a finite alphabet ⋮ On z-factorization and c-factorization of standard episturmian words ⋮ Directive words of episturmian words: equivalences and normalization ⋮ Inequalities characterizing standard Sturmian and episturmian words

Cites Work

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• Certain words on the real projective line
• Episturmian words and episturmian morphisms
• On a paper by Castelli, Mignosi, Restivo
• Représentation géométrique de suites de complexité $2n+1$
• A generalization of Sturmian sequences: Combinatorial structure and transcendence
• Episturmian words and some constructions of de Luca and Rauzy

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