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

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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
Keywords: 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},
     number = {4},
     year = {2006},
     doi = {10.1051/ita:2006041},
     mrnumber = {2277050},
     zbl = {1110.68116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2006041/}
}
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AU  - Avgustinovich, Sergey V.
AU  - Cassaigne, Julien
AU  - Frid, Anna E.
TI  - Sequences of low arithmetical complexity
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PY  - 2006
SP  - 569
EP  - 582
VL  - 40
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PB  - EDP-Sciences
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DO  - 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

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