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arXiv · 1307.4938

Computational Universality and 1/f Noise in Elementary Cellular Automata

Shigeru Ninagawa
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Abstract

It is speculated that there is a relationship between 1/f noise and computational universality in cellular automata. We use genetic algorithms to search for one-dimensional and two-state, five-neighbor cellular automata which have 1/f-type spectrum. A power spectrum is calculated from the evolution starting from a random initial configuration. The fitness is estimated from the power spectrum in consideration of the similarity to 1/f-type spectrum. The result shows that the rule with the highest average fitness has a propagating structure like other computationally universal cellular automata, although computational universality of the rule has not been proved yet.

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Shigeru Ninagawa. 2013-07-18. Computational Universality and 1/f Noise in Elementary Cellular Automata. https://arxiv.org/abs/1307.4938

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