A property of the rule 150 elementary cellular automaton

2014/01/20 by Yuji Kaneko, Kaneko, Yuji
Physics and Astronomy · #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #nlin.CG

paper · pdf · doi:10.48550/arxiv.1401.4779

10 pages, 2 figures

arxiv created 2014/01/20 · arxiv updated 2014/01/21

Abstract

We studied the rule 150 elementary cellular automaton in terms of the distribution of the spacings of the singular values of the matieces obtained from proper time evolutions patterns. The distribution has strong resembrance to that of the random matrices which is derived from Painlevé V equation. Some analytic results for the relative period of the ECS are also presented.

Related

• Singular function emerging from one-dimensional elementary cellular automaton Rule 150
• Catalan numbers and power laws in cellular automaton rule 14
• Limit dynamics of elementary cellular automaton 18
• One-dimensional cellular automata with random rules: longest temporal period of a periodic solution
• A natural class of cellular automata containing fractional multiplication automata, Rule 30, and others