33 citations · 35 across the 2 of their papers we have counts for
2 papers
math.DS2012★ 2 cited
Entropy rate of higher-dimensional cellular automata
François Blanchard, Pierre Tisseur
We introduce the entropy rate of multidimensional cellular automata. This number is invariant under shift-commuting isomorphisms; as opposed to the entropy of such CA, it is always…
math.DS2008★ 33 cited
Constant-length substitutions and countable scrambled sets
François Blanchard, Fabien Durand, Alejandro Maass
In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke…