Direct Counting Analysis on Network Generated by Discrete Dynamics
Data Analysis, Statistics and Probability
2015-05-27 v1 Mathematical Physics
math.MP
Computational Physics
Abstract
A detail study on the In-degree Distribution (ID) of Cellular Automata is obtained by exact enumeration. The results indicate large deviation from multiscaling and classification according to ID are discussed. We further augment the transfer matrix as such the distributions for more complicated rules are obtained. Dependence of In-degree Distribution on the lattice size have also been found for some rules including R50 and R77.
Keywords
Cite
@article{arxiv.1104.1021,
title = {Direct Counting Analysis on Network Generated by Discrete Dynamics},
author = {Shu-Hao Liou and Chia-Chu Chen},
journal= {arXiv preprint arXiv:1104.1021},
year = {2015}
}
Comments
8 pages, 11 figures