On the entropy and letter frequencies of powerfree words

Grimm, Uwe and Heuer, Manuela (2008). On the entropy and letter frequencies of powerfree words. Entropy, 10(4) pp. 590–612.

DOI: https://doi.org/10.3390/e10040590

Abstract

We review the recent progress in the investigation of powerfree words, with particular emphasis on binary cubefree and ternary squarefree words. Besides various bounds on the entropy, we provide bounds on letter frequencies and consider their empirical distribution obtained by an enumeration of binary cubefree words up to length 80.

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About

• Item ORO ID
• 12309
• Item Type
• Journal Item
• ISSN
• 1099-4300
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Combinatorics of Sequences and Tilings and its Applications	EP/D058465/1	EPSRC (Engineering and Physical Sciences Research Council)

• Keywords
• entropy and information theory; symbolic sequences; combinatorics on words; integer sequences
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2008 Not known
• Depositing User
• Uwe Grimm