Prevalence of Odometers in Cellular Automata

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We consider a left permutive cellular automaton Phi, with no memory and positive anticipation, defined on the space of all doubly infinite sequences with entries from a finite alphabet. For each such automaton that is not one-to-one, there is a dense set of points X (which is large in another sense too) such that the Phi-orbit closure of each x in X is topologically conjugate to an odometer (the ``+1'' map on a projective limit of finite cyclic groups). We identify this odometer in several cases.
8 pages

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Dynamical Systems, 37B15 (primary); 68Q80 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/104721

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511030
 http://arxiv.org/abs/math/0511030

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arXiv