The Open UniversitySkip to content

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 (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


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.

Item Type: Journal Article
Copyright Holders: 2008 Not known
ISSN: 1099-4300
Project Funding Details:
Funded Project NameProject IDFunding Body
Combinatorics of Sequences and Tilings and its ApplicationsEP/D058465/1EPSRC (Engineering and Physical Sciences Research Council)
Keywords: entropy and information theory; symbolic sequences; combinatorics on words; integer sequences
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 12309
Depositing User: Uwe Grimm
Date Deposited: 14 Nov 2008 11:02
Last Modified: 14 Jan 2016 17:27
Share this page:


Scopus Citations

▼ Automated document suggestions from open access sources

Actions (login may be required)

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340