3 citations · 4 across the 4 of their papers we have counts for
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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…
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…
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…