A new class of automata networks is defined. Their evolution rules are
determined by a probability measure p on the set of all integers Z an
d an indicator function I-A On the interval [0, 1]. It is shown that a
ny cellular automaton rule can be represented by a (nonunique) rule fo
rmulated in terms of a pair (p, I-A) This new class of automata networ
ks contains discrete systems which are not cellular automata. For a gi
ven p, a metric can be defined on the space of all rules which induces
a metric on the space of all cellular automata rules.