Lazy cellular automata have order bounded by the number of fibers of their active pattern p, with the bound attained precisely when p is quasi-constant.
P., Mattos, T., Ruivo, E.: From Multiple to Single Updates Per Cell in El- ementary Cellular Automata with Neighbourhood Based Priority
2 Pith papers cite this work. Polarity classification is still indexing.
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CA with a unique active transition are either idempotent or strictly almost equicontinuous, characterized by subpatterns of p having translational symmetry.
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On the order of lazy cellular automata
Lazy cellular automata have order bounded by the number of fibers of their active pattern p, with the bound attained precisely when p is quasi-constant.
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One-dimensional cellular automata with a unique active transition
CA with a unique active transition are either idempotent or strictly almost equicontinuous, characterized by subpatterns of p having translational symmetry.