We show that for an additive one-dimensional cellular automata on space of all doubly infinitive sequences with values in a finite set S = {0, 1, 2, ..., r-1}, determined by an additive automaton… (More)

Cellular automata are used to model dynamical phenomena by focusing on their local behavior which depends on the neighboring cells in order to express their global behavior. The geometrical structure… (More)

In this paper, we investigate some ergodic properties of Z-actions Tp,n generated by an additive cellular automata and shift acting on the space of all doubly -infinitive sequences taking values in… (More)

We show that for an additive one-dimensional cellular automaton (CA) Z-action U on the space of all doubly infinite sequences with values in a finite set Za 1⁄4 f0; 1; 2; . . . ; a 1g, determined by… (More)

In this paper we study a class of quadratic operators named by Volterra operators on infinite dimensional space. We prove that such operators have infinitely many fixed points and the set of Volterra… (More)

This paper presents a study of two-dimensional hexagonal cellular automata (CA) with periodic boundary. Although the basic construction of a cellular automaton is a discrete model, its global level… (More)

An important problem in cellular automata theory is the reversibility of a cellular automaton which is related to the existence of Garden of Eden configurations in cellular automata. In this paper,… (More)

In this paper we consider invertible one-dimensional linear cellular automata (CA hereafter) defined on a finite alphabet of cardinality p k , i.e. the maps T f [l,r] : Z Z p k → Z Z p k which are… (More)