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math.DS2020
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…
math.DS2020
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…