50 citations · 122 across the 35 of their papers we have counts for
3 papers · 1 filter
Semicocycle discontinuities for substitutions and reverse-reading automata
Gandhar Joshi, Reem Yassawi
In this article we define the semigroup associated to a substitution. We use it to construct a minimal automaton which generates a substitution sequence u in reverse reading. We sh…
Torsion-free -adic shifts and their spectrum
Álvaro Bustos-Gajardo, Neil Mañibo, Reem Yassawi
In this work we study -adic shifts generated by sequences of morphisms that are constant-length. We call a sequence of constant-length morphisms torsion-free if any prime diviso…
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…