Sequences of low arithmetical complexity
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 4, pp. 569-582.

Arithmetical complexity of a sequence is the number of words of length n that can be extracted from it according to arithmetic progressions. We study uniformly recurrent words of low arithmetical complexity and describe the family of such words having lowest complexity.

DOI : 10.1051/ita:2006041
Classification : 68R15
Mots-clés : arithmetical complexity, infinite words, Toeplitz words, special factors, period doubling word, Legendre symbol, paperfolding word 
@article{ITA_2006__40_4_569_0,
     author = {Avgustinovich, Sergey V. and Cassaigne, Julien and Frid, Anna E.},
     title = {Sequences of low arithmetical complexity},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {569--582},
     publisher = {EDP-Sciences},
     volume = {40},
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     year = {2006},
     doi = {10.1051/ita:2006041},
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     zbl = {1110.68116},
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     url = {http://www.numdam.org/articles/10.1051/ita:2006041/}
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Avgustinovich, Sergey V.; Cassaigne, Julien; Frid, Anna E. Sequences of low arithmetical complexity. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 4, pp. 569-582. doi : 10.1051/ita:2006041. http://www.numdam.org/articles/10.1051/ita:2006041/

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