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arxiv: math/0611508 · v1 · pith:PCAMFPNWnew · submitted 2006-11-16 · 🧮 math.CO

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

classification 🧮 math.CO
keywords associatedbetacomplexityinfinitenon-simplenumberspalindromicparry
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We study the palindromic complexity of infinite words $u_\beta$, the fixed points of the substitution over a binary alphabet, $\phi(0)=0^a1$, $\phi(1)=0^b1$, with $a-1\geq b\geq 1$, which are canonically associated with quadratic non-simple Parry numbers $\beta$.

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