On the entropy and letter frequencies of powerfree words

Details On the entropy and letter frequencies of powerfree words On the entropy and letter frequencies of powerfree words

2008-11-13

arxiv.org/abs/0811.2119v1

Entropy 10 (2008), 590-612

Mathematics

Combinatorics

19 pages, 4 figures

Scientific paper

10.3390/e10040590

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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