Embedding odometers in cellular automata

Details Embedding odometers in cellular automata Embedding odometers in cellular automata

2009-08-04

arxiv.org/abs/0908.0477v1

Mathematics

Dynamical Systems

8 pages

Scientific paper

We consider the problem of embedding odometers in one-dimensional cellular automata. We show that (1) every odometer can be be embedded in a gliders with reflecting walls cellular automaton, which one depending on the odometer, and (2) an odometer can be embedded in a cellular automaton, which is a group endomorphism on an n-letter group, and where n depends on the odometer, if and only if the odometer is "finitary."

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