The index of Sturmian sequences
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Publication:1348765
DOI10.1006/eujc.2000.0496zbMath1002.11020OpenAlexW2002264581MaRDI QIDQ1348765
Publication date: 24 July 2002
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/f563aa33934ad121222d6778be8332dd570d244e
infinite wordcontinued fraction expansionfinite alphabetrepetitionsSturmian sequencefractional powers of words
Combinatorics on words (68R15) Continued fractions (11A55) Special sequences and polynomials (11B83)
Related Items (37)
Transcendence of Sturmian or morphic continued fractions ⋮ Powers in Sturmian sequences ⋮ Abelian powers and repetitions in Sturmian words ⋮ Regularity of aperiodic minimal subshifts ⋮ Relation between powers of factors and the recurrence function characterizing Sturmian words ⋮ Powers in a class of \(\mathcal A\)-strict standard episturmian words ⋮ Computation of critical exponent in balanced sequences ⋮ COMBINATORIAL PROPERTIES OF ARNOUX–RAUZY SUBSHIFTS AND APPLICATIONS TO SCHRÖDINGER OPERATORS ⋮ Episturmian words: a survey ⋮ On square factors and critical factors of \(k\)-bonacci words on infinite alphabet ⋮ On critical exponents in fixed points of non-erasing morphisms ⋮ Complementary symmetric Rote sequences: the critical exponent and the recurrence function ⋮ Critical exponents of infinite balanced words ⋮ Abelian combinatorics on words: a survey ⋮ Hierarchical structures in Sturmian dynamical systems ⋮ Some properties of the factors of Sturmian sequences. ⋮ Critical Exponents of Regular Arnoux-Rauzy Sequences ⋮ Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents ⋮ Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order ⋮ On extremal properties of the Fibonacci word ⋮ On Critical exponents in fixed points ofk-uniform binary morphisms ⋮ On $k$-abelian equivalence and generalized Lagrange spectra ⋮ On balanced sequences and their asymptotic critical exponent ⋮ Sturmian numeration systems and decompositions to palindromes ⋮ On the fixed points of the iterated pseudopalindromic closure operator ⋮ Dynamical upper bounds for one-dimensional quasicrystals ⋮ Note on powers in three interval exchange transformations ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications ⋮ Periodicity, repetitions, and orbits of an automatic sequence ⋮ The repetition threshold for binary rich words ⋮ Repetitions in beta-integers ⋮ On Sturmian and episturmian words, and related topics ⋮ A classification of aperiodic order via spectral metrics and Jarník sets ⋮ Everywhere \(\alpha \)-repetitive sequences and Sturmian words ⋮ On balanced sequences and their critical exponent ⋮ Characterization of repetitions in Sturmian words: a new proof ⋮ Asymptotic repetitive threshold of balanced sequences
Cites Work
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- On the number of factors of Sturmian words
- Sturmian words and words with a critical exponent
- Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues
- Palindromes and Sturmian words
- Repetitions in the Fibonacci infinite word
- A characterization of Sturmian words by return words
- Fractional powers in Sturmian words
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