3 citations · 4 across the 4 of their papers we have counts for
6 papers
On Christoffel and standard words and their derivatives
Alma D'Aniello, Aldo de Luca, Alessandro De Luca
We introduce and study natural derivatives for Christoffel and finite standard words, as well as for characteristic Sturmian words. These derivatives, which are realized as inverse…
On prefixal factorizations of words
Aldo de Luca, Luca Q. Zamboni
We consider the class of all infinite words over a finite alphabet admitting a prefixal factorization, i.e., a factorization whe…
Sturmian words and the Stern sequence
Aldo de Luca, Alessandro De Luca
Central, standard, and Christoffel words are three strongly interrelated classes of binary finite words which represent a finite counterpart of characteristic Sturmian words. A nat…
A Coloring Problem for Sturmian and Episturmian Words
Aldo de Luca, Elena V. Pribavkina, Luca Q. Zamboni
We consider the following open question in the spirit of Ramsey theory: Given an aperiodic infinite word , does there exist a finite coloring of its factors such that no factori…
Some extremal properties of the Fibonacci word
Aldo de Luca
We prove that the Fibonacci word satisfies among all characteristic Sturmian words, three interesting extremal properties. The first concerns the length and the second the mini…
A generalized palindromization map in free monoids
Aldo de Luca, Alessandro De Luca
The palindromization map in a free monoid was introduced in 1997 by the first author in the case of a binary alphabet , and later extended by other authors to arbitrar…