BALANCE PROPERTIES OF ARNOUX–RAUZY WORDS
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Publication:2842015
DOI10.1142/S0218196713400043zbMath1269.68073arXiv1212.5106MaRDI QIDQ2842015
Wolfgang Steiner, Julien Cassaigne, Valérie Berthé
Publication date: 30 July 2013
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.5106
Related Items (8)
Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Balancedness and coboundaries in symbolic systems ⋮ Critical Exponents of Regular Arnoux-Rauzy Sequences ⋮ On a Class of 2-Balanced Sequences ⋮ On non-repetitive complexity of Arnoux-Rauzy words ⋮ An upper bound on asymptotic repetition threshold of balanced sequences via colouring of the Fibonacci sequence ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Abelian properties of Parry words
Cites Work
- On the superimposition of Christoffel words
- Substitutions in dynamics, arithmetics and combinatorics
- On a generalization of Christoffel words: epichristoffel words
- Weak mixing and eigenvalues for Arnoux-Rauzy sequences
- Balance and abelian complexity of the Tribonacci word
- Sturmian morphisms, the braid group \(B_4\), Christoffel words and bases of \(F_2\)
- Fine and Wilf's theorem for three periods and a generalization of Sturmian words
- Imbalances in Arnoux-Rauzy sequences
- Well-balanced sequences
- Bifix codes and Sturmian words
- Recurrence functions of Arnoux-Rauzy sequences, and answer to a question of Morse and Hedlund
- On an involution of Christoffel words and Sturmian morphisms
- On Christoffel classes
- Combinatorics on Words
- Représentation géométrique de suites de complexité $2n+1$
- Episturmian words: a survey
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