Corpus ID: 15473594

# Factor frequencies in generalized Thue-Morse words

@article{Balkov2012FactorFI,
title={Factor frequencies in generalized Thue-Morse words},
author={Lubom{\'i}ra Balkov{\'a}},
journal={Kybernetika},
year={2012},
volume={48},
pages={371-385}
}
• Lubomíra Balková
• Published 2012
• Mathematics, Computer Science
• Kybernetika
• 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… CONTINUE READING

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