56 citations · 88 across the 23 of their papers we have counts for
4 papers · 1 filter
Specular sets
Valérie Berthé, Clelia De Felice, Vincent Delecroix +5
We introduce the notion of specular sets which are subsets of groups called here specular and which form a natural generalization of free groups. These sets are an abstract general…
Enumeration formulæ in neutral sets
Francesco Dolce, Dominique Perrin
We present several enumeration results holding in sets of words called neutral and which satisfy restrictive conditions on the set of possible extensions of nonempty words. These f…
The finite index basis property
Valérie Berthé, Clelia De Felice, Francesco Dolce +4
We describe in this paper a connection between bifix codes, symbolic dynamical systems and free groups. This is in the spirit of the connection established previously for the symbo…
Interval exchanges, admissibility and branching Rauzy induction
Francesco Dolce, Dominique Perrin
We introduce a definition of admissibility for subintervals in interval exchange transformations. Using this notion, we prove a property of the natural codings of interval exchange…