2 papers
cs.DM2025
On the rigidity of Arnoux-Rauzy words
Valérie Berthé, Svetlana Puzynina
An infinite word generated by a substitution is rigid if all the substitutions which fix this word are powers of a same substitution. Sturmian words as well as characteristic Arnou…
math.DS2025
Coboundaries and eigenvalues of finitary S-adic systems
Valérie Berthé, Paulina Cecchi Bernales, Reem Yassawi
An S-adic system is a symbolic dynamical system generated by iterating an infinite sequence of substitutions or morphisms, called a directive sequence. A finitary S-adic dynamical…