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On the Entropy and Letter Frequencies of Powerfree Words
Department of Mathematics&Statistics, The Open University, Walton Hall, Milton Keynes MK76AA, UK
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Received: 24 May 2008 / Accepted: 7 August 2008 / Published: 12 November 2008
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.
Keywords: Entropy and information theory; symbolic sequences; combinatorics on words; integer sequences
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Cite This Article
MDPI and ACS Style
Grimm, U.; Heuer, M. On the Entropy and Letter Frequencies of Powerfree Words. Entropy 2008, 10, 590-612.
Grimm U, Heuer M. On the Entropy and Letter Frequencies of Powerfree Words. Entropy. 2008; 10(4):590-612.
Grimm, Uwe; Heuer, Manuela. 2008. "On the Entropy and Letter Frequencies of Powerfree Words." Entropy 10, no. 4: 590-612.