SOME PROPERTIES OF LOCAL AND NONLOCAL SITE EXCHANGE DETERMINISTIC CELLULAR AUTOMATA

N. Boccara and M. Roger
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N. Boccara: DRECAM-SPEC, CE Saclay, 91191 Gif-sur-Yvette Cedex, France
M. Roger: DRECAM-SPEC, CE Saclay, 91191 Gif-sur-Yvette Cedex, France

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 03, 581-588

Abstract: Stationary densities of nonzero sites of one-dimensional range-one deterministic cellular automata are shown to be functions of a parameter m characterizing the degree of mixing of site values. The mixing results from either a local or a nonlocal exchange of the site values. In particular, the asymptotic behavior of the stationary densities of nonzero sites for very small and very large values of the parameter m have been determined.

Keywords: Cellular; Automata (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1142/S0129183194000751

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