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
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.