On the Entropy and Letter Frequencies of Ternary Square-Free Words

Details On the Entropy and Letter Frequencies of Ternary Square-Free Words On the Entropy and Letter Frequencies of Ternary Square-Free Words

2003-02-25

arxiv.org/abs/math/0302302v2

The Electronic Journal of Combinatorics 11 (2004) #R14

Mathematics

Combinatorics

17 pages, 2 figures

Scientific paper

We enumerate all ternary length-l square-free words, which are words avoiding squares of words up to length l, for l<=24. We analyse the singular behaviour of the corresponding generating functions. This leads to new upper entropy bounds for ternary square-free words. We then consider ternary square-free words with fixed letter densities, thereby proving exponential growth for certain ensembles with various letter densities. We derive consequences for the free energy and entropy of ternary square-free words.

Affiliated with

Also associated with

No associations

Rating

On the Entropy and Letter Frequencies of Ternary Square-Free Words does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Entropy and Letter Frequencies of Ternary Square-Free Words, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Entropy and Letter Frequencies of Ternary Square-Free Words will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482761