Palindromic complexity of infinite words associated with non-simple Parry numbers

Balková, L'ubomíra; Masáková, Zuzana

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009), p. 145-163 / Harvested from Numdam

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Résumé

We study the palindromic complexity of infinite words $u_{β}$ , the fixed points of the substitution over a binary alphabet, $ϕ (0) = 0^{a} 1$ , $ϕ (1) = 0^{b} 1$ , with $a - 1 \geq b \geq 1$ , which are canonically associated with quadratic non-simple Parry numbers $β$ .

Publié le : 2009-01-01

MR 2483448 | Zbl 1156.68043

DOI : https://doi.org/10.1051/ita:2008005
Classification: 68R15, 11A63

@article{ITA_2009__43_1_145_0,
     author = {Balkov\'a, L'ubom\'\i ra and Mas\'akov\'a, Zuzana},
     title = {Palindromic complexity of infinite words associated with non-simple Parry numbers},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     volume = {43},
     year = {2009},
     pages = {145-163},
     doi = {10.1051/ita:2008005},
     mrnumber = {2483448},
     zbl = {1156.68043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ITA_2009__43_1_145_0}
}

Balková, L'ubomíra; Masáková, Zuzana. Palindromic complexity of infinite words associated with non-simple Parry numbers. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) pp. 145-163. doi : 10.1051/ita:2008005. http://gdmltest.u-ga.fr/item/ITA_2009__43_1_145_0/

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