SOME PROPERTIES OF LOCAL AND NONLOCAL SITE EXCHANGE DETERMINISTIC CELLULAR-AUTOMATA

Authors
BOCCARA N ROGER M
Citation
N. Boccara et M. Roger, SOME PROPERTIES OF LOCAL AND NONLOCAL SITE EXCHANGE DETERMINISTIC CELLULAR-AUTOMATA, International journal of modern physics C, 5(3), 1994, pp. 581-588
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
5
Issue
3
Year of publication
1994
Pages
581 - 588
Database
ISI
SICI code
0129-1831(1994)5:3<581:SPOLAN>2.0.ZU;2-3
Abstract
Stationary densities of nonzero sites of one-dimensional range-one det erministic cellular automata are shown to be functions of a parameter m characterizing the degree of mixing of site values. The mixing resul ts from either a local or a nonlocal exchange of the site values. In p articular, the asymptotic behavior of the stationary densities of nonz ero sites for very small and very large values of the parameter m have been determined.