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math.DS2015★ 3 cited
Post-surjectivity and balancedness of cellular automata over groups
Silvio Capobianco, Jarkko Kari, Siamak Taati
We discuss cellular automata over arbitrary finitely generated groups. We call a cellular automaton post-surjective if for any pair of asymptotic configurations, every pre-image of…
math.DS2007
On the Induction Operation for Shift Subspaces and Cellular Automata as Presentations of Dynamical Systems
Silvio Capobianco
We consider continuous, translation-commuting transformations of compact, translation-invariant families of mappingsfrom finitely generated groups into finite alphabets. It is well…
math.DS2007
Surjunctivity for cellular automata in Besicovitch spaces
Silvio Capobianco
The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation…