Prevalence and structure of adding machines for cellular automata |
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| Authors: | Emma D'Aniello |
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| Affiliation: | a Dipartimento di Matematica, Seconda Università degli Studi di Napoli, Via Vivaldi 43, 81100 Caserta, Italy
b Department of Sciences and Mathematics, American University of Rome, Via Pietro Roselli 4, 00153 Roma, Italy |
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| Abstract: | Consider the collection of left permutive cellular automata Φ with no memory, defined on the space S of all doubly infinite sequences from a finite alphabet. There exists  , a dense subset of S, such that  is topologically conjugate to an odometer for all  so long as Φm is not the identity map for any m. Moreover, Φ generates the same odometer for all  . The set  is a dense Gδ subset with full measure of a particular subspace of S. |
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| Keywords: | Odometer Adding machine Cellular automaton |
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