The stabilizer of an infinite word w over a finite alphabet is the monoid of morphisms over that fix w. In this paper we study various problems related to stabilizers and their g...
To any infinite word t over a finite alphabet A we can associate two infinite words min(t) and max(t) such that any prefix of min(t) (resp. max(t)) is the lexicographically smalle...
An infinite word has the property Rm if every factor has exactly m return words. Vuillon showed that R2 characterizes Sturmian words. We prove that a word satisfies Rm if its compl...
An infinite word is S-automatic if, for all n 0, its (n+1)st letter is the output of a deterministic automaton fed with the representation of n in the numeration system S. In this...
In this paper we prove that for any infinite word w whose set of factors is closed under reversal, the following conditions are equivalent: (I) all complete returns to palindromes...
Michelangelo Bucci, Alessandro De Luca, Amy Glen, ...