The palindromization map $\psi$ in a free monoid $A^{\*}$ was introduced in 1997
by the first author in the case of a binary alphabet $A$, and later extended by
other authors to arbitrary alphabets. Acting on infinite words, $\psi$
generates the …
In this paper we study a class of infinite words on a finite alphabet
$A$ whose factors are closed under the image of an involutory
antimorphism $\theta$ of the free monoid $A^\*$.
We show that given a
recurrent infinite word $\omega \in …
In this paper we prove that for any infinite word *w* whose set of
factors is closed under reversal, the following conditions are
equivalent:
1. all complete returns to palindromes are palindromes;
2. *P* (*n*) + *P* (*n*+1) = *C* (*n*+1) …