Cellular automata (CA) have become essential for exploring complex phenomena like emergence and self-organization across fields such as neuroscience, artificial life, and theoretical physics. Yet, the ...

Transactions of the American Mathematical Society, Vol. 326, No. 2 (Aug., 1991), pp. 701-726 (26 pages) We apply three alternate definitions of "attractor" to cellular automata. Examples are given to ...

Abstract: During the last few decades, significant efforts have been devoted to analyze the dynamical behavior of cellular automata (CAs) on cyclic groups, their Cartesian power (referred to as linear ...

Abstract: When programming a spatial computing medium such as a cellular automaton, the hop count distance to some set of sources (particles) is an often used information. In particular, we consider ...