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Growth rates of power-free languages

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Publication:1037095
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DOI10.3103/S1066369X09090096zbMath1192.68424MaRDI QIDQ1037095

Arseny M. Shur

Publication date: 13 November 2009

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


zbMATH Keywords

growth ratecombinatorial complexityregular languagespower-free languages


Mathematics Subject Classification ID

Formal languages and automata (68Q45)


Related Items (2)

Growth of power-free languages: numerical and asymptotic bounds ⋮ Two-Sided Bounds for the Growth Rates of Power-Free Languages



Cites Work

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  • Automata and forbidden words
  • Polynomial versus exponential growth in repetition-free binary words
  • Repetition-free words
  • Enumeration of irreducible binary words
  • Uniformly growing k-th power-free homomorphisms
  • On the entropy and letter frequencies of ternary square-free words
  • The number of binary cube-free words of length up to 47 and their numerical analysis


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