\(\alpha\)-words and factors of characteristic sequences

DOI10.1016/S0012-365X(96)00355-XzbMath0890.68108OpenAlexW1993337762MaRDI QIDQ1377868

Wai-Fong Chuan

Publication date: 11 June 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(96)00355-x

zbMATH Keywords

\(\alpha\)-words

Mathematics Subject Classification ID

Combinatorics on words (68R15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (22)

Moments of conjugacy classes of binary words ⋮ Markov word patterns and a relation on \(\alpha\)-words ⋮ The \(D\)-representation of nonnegative integers and the Fibonacci factorization of suffixes of infinite Fibonacci words ⋮ A representation theorem of the suffixes of characteristic sequences ⋮ Convexity preserving deformations of digital sets: characterization of removable and insertable pixels ⋮ Reprint of: ``Palindromization and construction of Markoff triples ⋮ \(\alpha\)-words and the radix order ⋮ Fibonacci word patterns in two-way infinite Fibonacci words ⋮ Locating factors of a characteristic word via the generalized Zeckendorf representation of numbers ⋮ Sturmian morphisms and \(\alpha\)-words ⋮ \(Q\)-factorization of suffixes of two-way infinite extensions of irrational characteristic words ⋮ Factors of characteristic words of irrational numbers ⋮ Factors of characteristic words: location and decompositions ⋮ Approximating Bernoulli words of irrational numbers by \(\alpha \)-words ⋮ On quadratic numbers and forms, and Markoff theory ⋮ Palindromization and construction of Markoff triples ⋮ On Christoffel classes ⋮ Unbordered factors of the characteristic sequences of irrational numbers ⋮ Further steps on the reconstruction of convex polyominoes from orthogonal projections ⋮ Studies on finite Sturmian words ⋮ A \(d\)-dimensional extension of Christoffel words ⋮ Locating factors of the infinite Fibonacci word

Cites Work

• Quasicrystallographic tilings
• A division property of the Fibonacci word
• Periodicity and unbordered segments of words
• A combinatorial property of the Fibonacci words
• Sturmian morphisms
• Some combinatorial properties of Sturmian words
• Sturmian words: structure, combinatorics, and their arithmetics
• Characterization of the set of values \(f(n)=[n \alpha , n=1,2,\dots \)]
• Systems of Numeration
• Repetitions in the Fibonacci infinite word
• Beatty Sequences, Continued Fractions, and Certain Shift Operators
• The Sequence of Greatest Integers of an Arithmetic Progression
• Determination of [nθ by its Sequence of^*Differences]
• A Characterization of the Quadratic Irrationals
• Descriptions of the Characteristic Sequence of an Irrational
• A remark on morphic sturmian words
• Some properties of the singular words of the Fibonacci word
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