33 citations · 162 across the 31 of their papers we have counts for
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math.GR2009★ 16 cited
On the reversibility and the closed image property of linear cellular automata
Tullio Ceccherini-Silberstein, Michel Coornaert
When is an arbitrary group and is a finite-dimensional vector space, it is known that every bijective linear cellular automaton is reversible and that…
math.GR2009
On a characterization of locally finite groups in terms of linear cellular automata
Tullio Ceccherini-Silberstein, Michel Coornaert
We prove that a group is locally finite if and only if every surjective real (or complex) linear cellular automaton with finite-dimensional alphabet over is injective.