A simple characterization of Sturm numbers

DOI10.5802/jtnb.226zbMath0930.11051OpenAlexW2069064945MaRDI QIDQ1292616

Cyril Allauzen

Publication date: 23 June 1999

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1998__10_2_237_0

zbMATH Keywords

continued fractionsSturmian sequencefixed points of morphismsbilliard sequenceSturm number

Mathematics Subject Classification ID

Combinatorics on words (68R15) Continued fractions and generalizations (11J70) Symbolic dynamics (37B10) Automata sequences (11B85)

Related Items (11)

Palindromic complexity of infinite words associated with simple Parry numbers ⋮ On Sturmian substitutions closed under derivation ⋮ On the Stern-Brocot expansion of real numbers ⋮ Periodic scheduling of marked graphs using balanced binary words ⋮ On substitution invariant Sturmian words: an application of Rauzy fractals ⋮ Morphisms fixing words associated with exchange of three intervals ⋮ Episturmian morphisms and a Galois theorem on continued fractions ⋮ Substitution invariant Sturmian words and binary trees ⋮ Morphic words, Beatty sequences and integer images of the Fibonacci language ⋮ A little more about morphic Sturmian words ⋮ Generalized Beatty sequences and complementary triples

Cites Work

• Frequencies of factors of Sturmian sequences
• Substitution invariant cutting sequences
• Invariance properties of Sturmian words
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