56 citations · 231 across the 19 of their papers we have counts for
3 papers · 1 filter
Return words of linear involutions and fundamental groups
Valérie Berthé, Vincent Delecroix, Francesco Dolce +3
We investigate the natural codings of linear involutions. We deduce from the geometric representation of linear involutions as Poincaré maps of measured foliations a suitable defin…
Factor Complexity of S-adic sequences generated by the Arnoux-Rauzy-Poincaré Algorithm
Valérie Berthé, Sébastien Labbé
The Arnoux-Rauzy-Poincaré multidimensional continued fraction algorithm is obtained by combining the Arnoux-Rauzy and Poincaré algorithms. It is a generalized Euclidean algorithm.…
A combinatorial approach to products of Pisot substitutions
Valérie Berthé, Jérémie Bourdon, Timo Jolivet +1
We define a generic algorithmic framework to prove pure discrete spectrum for the substitutive symbolic dynamical systems associated with some infinite families of Pisot substituti…