(Generalized) Pseudostandard words

On some problems related to palindrome closure

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 …

Combinatorial aspects of Sturmian sequences and their generalizations

On different generalizations of episturmian words

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 $\vartheta$ …

Some generalizations of episturmian words and morphisms

We study some classes of infinite words that generalize standard episturmian words, defined by replacing the reversal operator with an arbitrary involutory antimorphism $\vartheta$ of $A^{\*}$. An analysis of the relations occurring among such …

Pseudopalindrome closure operators in free monoids

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 …