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Periodicity of cylindrical linear cellular automata

Shin-ichi Tadaki
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Abstract

Periodicity and relaxation are investigated for the trajectories of the states in cylindrical linear cellular automata. The time evolutions are described with matrices. The eigenvalue analysis is applied to obtain the maximum values of period and relaxation. The translational invariance suppresses the maximum period and relaxation.

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Shin-ichi Tadaki. 1994-12-15. Periodicity of cylindrical linear cellular automata. https://arxiv.org/abs/patt-sol/9412003

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