Theta-episturmian words

Characteristic morphisms of generalized episturmian words

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 …

On $\theta$-episturmian words

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 …

On a Generalization of Standard Episturmian Morphisms

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 …

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 …