Transients, Cycles, and Complexity in Cellular Automata



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Transients, Cycles, and Complexity in Cellular Automata

Howard A. Gutowitz
Service de Physique de l'Etat Condensé
Centre d'Etudes de Saclay
F 91191 Gif-sur-Yvette cedex, France

In: Phys. Rev. A. Dec 15 1991

Abstract:

An elementary context in which the computing ability of cellular automata is directly related to quantities of physical significance is discussed. It is found in examples that no single statistic serves to measure the complexity of the behaviors produced. On this basis it is argued that the theory of distributions can be gainfully employed alongside computation theory and information theory in the study of the complexity of dynamical systems.






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