Circular critical exponents for Thue–Morse factors
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 53 (2019) no. 1-2, pp. 37-49.

We prove various results about the largest exponent of a repetition in a factor of the Thue–Morse word, when that factor is considered as a circular word. Our results confirm and generalize previous results of Fitzpatrick and Aberkane & Currie.

Reçu le :
Accepté le :
DOI : 10.1051/ita/2018008
Classification : 11B85, 68Q45, 68R15, 03D05, 03B35
Mots-clés : Thue–Morse sequence, critical exponent, finite automaton, circular word, critical exponents
Shallit, Jeffrey 1 ; Zarifi, Ramin 1

1 
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Shallit, Jeffrey; Zarifi, Ramin. Circular critical exponents for Thue–Morse factors. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 53 (2019) no. 1-2, pp. 37-49. doi : 10.1051/ita/2018008. http://archive.numdam.org/articles/10.1051/ita/2018008/

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