Computer Science > Formal Languages and Automata Theory
[Submitted on 14 Aug 2012]
Title:Strictly Temporally Periodic Points in Cellular Automata
View PDFAbstract:We study the set of strictly periodic points in surjective cellular automata, i.e., the set of those configurations which are temporally periodic for a given automaton but they not spatially periodic. This set turns out to be dense for almost equicontinuous surjective cellular automata while it is empty for the positively expansive ones. In the class of additive cellular automata, the set of strictly periodic points can be either dense or empty. The latter happens if and only if the cellular automaton is topologically transitive.
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Tue, 14 Aug 2012 02:02:29 UTC (17 KB)
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