Factor frequencies in generalized Thue-Morse words
Combinatorics
2013-02-05 v1
Abstract
We describe factor frequencies of the generalized Thue-Morse word t_{b,m} defined for integers b greater than 1, m greater than 0 as the fixed point starting in 0 of the morphism \phi_{b,m} given by \phi_{b,m}(k)=k(k+1)...(k+b-1), where k = 0,1,..., m-1 and where the letters are expressed modulo m. We use the result of A. Frid, On the frequency of factors in a D0L word, Journal of Automata, Languages and Combinatorics 3 (1998), 29-41 and the study of generalized Thue-Morse words by S. Starosta, Generalized Thue-Morse words and palindromic richness, arXiv:1104.2476v2 [math.CO].
Cite
@article{arxiv.1107.5033,
title = {Factor frequencies in generalized Thue-Morse words},
author = {Lubomira Balkova},
journal= {arXiv preprint arXiv:1107.5033},
year = {2013}
}
Comments
11 pages