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 a recent paper with L. Q. Zamboni, the authors introduced the class of
*$\vartheta$-episturmian* words. An infinite word over $A$ is standard
$\vartheta$-episturmian, where $\vartheta$ is an involutory antimorphism of
$A^{\*}$, if its set of …
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 solve some open problems related to (pseudo)palindrome closure
operators and to the infinite words generated by their iteration, that is,
standard episturmian and pseudostandard words. We show that if
$\vartheta$ is an …
In a recent paper with L. Q. Zamboni the authors introduced the class of
*$\vartheta$-episturmian* words, where $\vartheta$ is an involutory
antimorphism of the free monoid $A^{*}$. In this paper, we introduce and study …
In this paper we study some classes of infinite words generalizing episturmian
words, and analyse the relations occurring among such classes. In each case, the
reversal operator $R$ is replaced by an arbitrary involutory antimorphism
$\vartheta$ …
We consider involutory antimorphisms $\vartheta$ of a free monoid $A^{\*}$ and
their fixed points, called $\vartheta$-palindromes or pseudopalindromes. A
$\vartheta$-palindrome reduces to a usual palindrome when $\vartheta$ is the
reversal …