# Sequences of low arithmetical complexity

Sergey V. Avgustinovich; Julien Cassaigne; Anna E. Frid

RAIRO - Theoretical Informatics and Applications (2006)

- Volume: 40, Issue: 4, page 569-582
- ISSN: 0988-3754

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topAvgustinovich, Sergey V., Cassaigne, Julien, and Frid, Anna E.. "Sequences of low arithmetical complexity." RAIRO - Theoretical Informatics and Applications 40.4 (2006): 569-582. <http://eudml.org/doc/249693>.

@article{Avgustinovich2006,

abstract = {
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.
},

author = {Avgustinovich, Sergey V., Cassaigne, Julien, Frid, Anna E.},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Arithmetical complexity; infinite words; Toeplitz words; special
factors; period doubling word; Legendre symbol; paperfolding word.; arithmetical complexity; special factors; paperfolding word},

language = {eng},

month = {11},

number = {4},

pages = {569-582},

publisher = {EDP Sciences},

title = {Sequences of low arithmetical complexity},

url = {http://eudml.org/doc/249693},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Avgustinovich, Sergey V.

AU - Cassaigne, Julien

AU - Frid, Anna E.

TI - Sequences of low arithmetical complexity

JO - RAIRO - Theoretical Informatics and Applications

DA - 2006/11//

PB - EDP Sciences

VL - 40

IS - 4

SP - 569

EP - 582

AB -
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.

LA - eng

KW - Arithmetical complexity; infinite words; Toeplitz words; special
factors; period doubling word; Legendre symbol; paperfolding word.; arithmetical complexity; special factors; paperfolding word

UR - http://eudml.org/doc/249693

ER -

## References

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