English

A property of the rule 150 elementary cellular automaton

Cellular Automata and Lattice Gases 2014-01-21 v1

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 Painlev\'e V equation. Some analytic results for the relative period of the ECS are also presented.

Keywords

Cite

@article{arxiv.1401.4779,
  title  = {A property of the rule 150 elementary cellular automaton},
  author = {Yuji Kaneko},
  journal= {arXiv preprint arXiv:1401.4779},
  year   = {2014}
}

Comments

10 pages, 2 figures