Periodicity of cylindrical linear cellular automata
arXiv:patt-sol/9412003
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.
arXiv comment20 pages, submitted to Prog. Thoer. Phys. (Figures can be obtained by anonymous ftp)