53 citations · 146 across the 35 of their papers we have counts for
42 papers
The Jacobs--Keane theorem from the $\cS$-adic viewpoint
Felipe Arbulú, Fabien Durand, Bastián Espinoza
In the light of recent developments of the -adic study of subshifts, we revisit, within this framework, a well-known result on Toeplitz subshifts due to Jacobs--Keane…
Dynamical properties of minimal Ferenczi subshifts
Felipe Arbulú, Fabien Durand
We provide an explicit S-adic representation of rank one subshifts with bounded spacers and call the subshifts obtained in this way ''Ferenczi subshifts''. We aim to show that this…
Dimension Groups and Dynamical Systems
Fabien Durand, Dominique Perrin
We give a description of the link between topological dynamical systems and their dimension groups. The focus is on minimal systems and, in particular, on substitution shifts. We d…
Interplay between finite topological rank minimal Cantor systems, -adic subshifts and their complexity
Sebastián Donoso, Fabien Durand, Alejandro Maass +1
Minimal Cantor systems of finite topological rank (that can be represented by a Bratteli-Vershik diagram with a uniformly bounded number of vertices per level) are known to have dy…
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…
Decidability, arithmetic subsequences and eigenvalues of morphic subshifts
Fabien Durand, Valérie Goyheneche
We prove decidability results on the existence of constant subsequences of uniformly recurrent morphic sequences along arithmetic progressions. We use spectral properties of the su…