Balance properties of the fixed point of the substitution associated to quadratic simple Pisot numbers

DOI10.1051/ita:2007009zbMath1146.68410OpenAlexW2066053964MaRDI QIDQ5441542

Ondřej Turek

Publication date: 15 February 2008

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

Full work available at URL: http://www.numdam.org/item?id=ITA_2007__41_2_123_0

zbMATH Keywords

infinite binary words

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Related Items (6)

Generalizations of Sturmian sequences associated with \(\boldsymbol{N}\)-continued fraction algorithms ⋮ Abelian complexity of infinite words associated with quadratic Parry numbers ⋮ Abelian properties of Parry words ⋮ Sturmian jungle (or garden?) on multiliteral alphabets ⋮ Combinatorial and arithmetical properties of infinite words associated with non-simple quadratic Parry numbers ⋮ Balances and Abelian Complexity of a Certain Class of Infinite Ternary Words

Cites Work

• Additive and multiplicative properties of point sets based on beta-integers.
• Balances for fixed points of primitive substitutions.
• Balance properties of multi-dimensional words
• Balanced words
• Finite beta-expansions
• Complexity of infinite words associated with beta-expansions
• Sequences with minimal block growth
• Symbolic Dynamics II. Sturmian Trajectories
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