Abstract:An interesting question is whether the intrinsic complexity of the gliders in [Formula: see text]-dimensional cellular automata could be quantitatively analyzed in rigorously mathematical sense. In this paper, by introducing the [Formula: see text]-dimensional symbolic space, some fundamental dynamical properties of [Formula: see text]-dimensional shift map are explored in a subtle way. The purpose of this article is to present an accurate characterization of complex symbolic dynamics of gliders in Conway’s ga… Show more
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