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Optimal Bounds for the Similarity Density of the Thue-Morse Word with Overlap-Free and 73-Power-Free Infinite Binary Words

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Publication:2800416
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DOI10.1142/S012905411540016XzbMath1341.68143OpenAlexW2278164876MaRDI QIDQ2800416

Chen Fei Du, Arseny M. Shur, Jeffrey O. Shallit

Publication date: 15 April 2016

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s012905411540016x


zbMATH Keywords

Thue-Morse sequence7/3-power-free sequenceoverlap-free factorsimilarity density


Mathematics Subject Classification ID

Combinatorics on words (68R15)


Related Items (1)

Subword complexity and power avoidance




Cites Work

  • Overlap-free words and finite automata
  • Spectral Properties of the Thue-Morse Sequence
  • Squares and overlaps in the Thue-Morse sequence and some variants
  • AVOIDING APPROXIMATE SQUARES
  • Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin–Shapiro sequences
  • Fife’s Theorem Revisited




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