3 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Strong Orbit Equivalence and Superlinear Complexity
Paulina Cecchi Bernales, Sebastián Donoso
We show that within any strong orbit equivalent class, there exist minimal subshifts with arbitrarily low superlinear complexity. This is done by proving that for any simple dimens…
On The Dimension Group of Unimodular S-Adic Subshifts
Valerie Berthe, P Cecchi Bernales, Fabien Durand +3
Dimension groups are complete invariants of strong orbit equivalence for minimal Cantor systems. This paper studies a natural family of minimal Cantor systems having a finitely gen…
Balancedness and coboundaries in symbolic systems
Valérie Berthé, Paulina Cecchi Bernales
This paper studies balancedness for infinite words and subshifts, both for letters and factors. Balancedness is a measure of disorder that amounts to strong convergence properties…