SOME PROPERTIES OF LOCAL AND NONLOCAL SITE EXCHANGE DETERMINISTIC CELLULAR AUTOMATA

Author:

BOCCARA N.1,ROGER M.1

Affiliation:

1. DRECAM-SPEC, CE Saclay, 91191 Gif-sur-Yvette Cedex, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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