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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…
math.DS2007★ 2 cited
Sofic Trace of a Cellular Automaton
Julien Cervelle, Enrico Formenti, Pierre Guillon
The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram, ie the infinite sequence of states of a particular cell…