43 citations · 44 across the 4 of their papers we have counts for
3 papers · 1 filter
Meyer sets, Pisot numbers, and self-similarity in symbolic dynamical systems
Valérie Berthé, Reem Yassawi
Aperiodic order refers to the mathematical formalisation of quasicrystals. Substitutions and cut and project sets are among their main actors; they also play a key role in the stud…
Density of group languages in shift spaces
Valérie Berthé, Herman Goulet-Ouellet, Carl-Fredrik Nyberg-Brodda +2
The density of a rational language can be understood as the frequency of some pattern in the shift space, for example a pattern like "words with an even number of a given letter."…
Geometry, dynamics, and arithmetic of -adic shifts
Valérie Berthé, Wolfgang Steiner, Jörg Thuswaldner
This paper studies geometric and spectral properties of -adic shifts and their relation to continued fraction algorithms. These shifts are symbolic dynamical systems obtained by…