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math.DS2025
On surjectivity and dynamical properties of dill maps
Firas Ben Ramdhane
In this paper, we study certain dynamical properties of dill maps, a class of functions introduced in~\cite{salo2015block} that generalizes both cellular automata and substitutions…
math.DS2022
Cellular automata and substitutions in topological spaces defined via edit distances
Firas Ben Ramdhane, Pierre Guillon
The Besicovitch pseudo-metric is a shift-invariant pseudo-metric on the set of infinite sequences, that enjoys interesting properties and is suitable for studying the dynamics of c…