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      Embedding odometers in cellular automata

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          Abstract

          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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          Most cited references 2

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          ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS

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            Dynamical properties of expansive one-sided cellular automata

             F Blanchard,  A. Maass (1997)
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              Author and article information

              Journal
              04 August 2009
              Article
              0908.0477

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              Custom metadata
              37B15
              8 pages
              math.DS

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