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

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

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