Number-conserving cellular automaton rules
adap-org
2007-05-23 v2 Adaptation and Self-Organizing Systems
Abstract
A necessary and sufficient condition for a one-dimensional q-state n-input cellular automaton rule to be number-conserving is established. Two different forms of simpler and more visual representations of these rules are given, and their flow diagrams are determined. Various examples are presented and applications to car traffic are indicated. Two nontrivial three-state three-input self-conjugate rules have been found. They can be used to model the dynamics of random walkers.
Keywords
Cite
@article{arxiv.adap-org/9905004,
title = {Number-conserving cellular automaton rules},
author = {Nino Boccara and Henryk Fuks},
journal= {arXiv preprint arXiv:adap-org/9905004},
year = {2007}
}
Comments
4 figures