Powers in Sturmian sequences

DOI10.1016/S0195-6698(03)00026-XzbMath1030.68068MaRDI QIDQ1873773

David Damanik, Daniel H. Lenz

Publication date: 27 May 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Sturmian sequencesPowersCombinatorics on words

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Related Items (17)

Some properties of the Tribonacci sequence ⋮ A Square Root Map on Sturmian Words ⋮ Reversals and palindromes in continued fractions ⋮ Powers in a class of \(\mathcal A\)-strict standard episturmian words ⋮ ASYMPTOTIC BEHAVIOUR OF THE MAXIMAL NUMBER OF SQUARES IN STANDARD STURMIAN WORDS ⋮ A characterization of subshifts with bounded powers ⋮ Locating factors of a characteristic word via the generalized Zeckendorf representation of numbers ⋮ Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order ⋮ Least Periods of Factors of Infinite Words ⋮ Computing the number of cubic runs in standard Sturmian words ⋮ A square root map on Sturmian words ⋮ On the maximum number of cubic subwords in a word ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications ⋮ On powers of words occurring in binary codings of rotations ⋮ Factors of characteristic words: location and decompositions ⋮ On the Lie complexity of Sturmian words ⋮ Characterization of repetitions in Sturmian words: a new proof

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of factors of Sturmian words
• The exact number of squares in Fibonacci words
• The index of Sturmian sequences
• Fibonacci numbers and words
• Hierarchical structures in Sturmian dynamical systems
• Sturmian words and words with a critical exponent
• Special factors, periodicity, and an application to Sturmian words
• Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity.
• Transcendence of Sturmian or morphic continued fractions
• Repetitions in the Fibonacci infinite word
• Fractional powers in Sturmian words

This page was built for publication: Powers in Sturmian sequences