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Palindromic complexity of infinite words associatedwith non-simple Parry numbers

Published online by Cambridge University Press:  12 March 2008

L'ubomíra Balková  and
Zuzana Masáková
L'ubomíra Balková
Affiliation:
Doppler Institute for Mathematical Physics and Applied Mathematics & Department of Mathematics, FNSPE, Czech Technical University, Trojanova 13, 120 00 Praha 2, Czech Republic; l.balkova@centrum.cz masakova@km1.fjfi.cvut.cz
Zuzana Masáková
Affiliation:
Doppler Institute for Mathematical Physics and Applied Mathematics & Department of Mathematics, FNSPE, Czech Technical University, Trojanova 13, 120 00 Praha 2, Czech Republic; l.balkova@centrum.cz masakova@km1.fjfi.cvut.cz
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Abstract

We study the palindromic complexity of infinite words uβ, the fixed points of the substitution over a binary alphabet, φ(0) = 0a1, φ(1) = 0b1, with a - 1 ≥ b ≥ 1, which are canonically associated with quadratic non-simple Parry numbers β.

Keywords

Palindromesbeta-expansionsinfinite words.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 43 , Issue 1 , January 2009 , pp. 145 - 163
Copyright
© EDP Sciences, 2008

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