Direct Counting Analysis On Network Generated by Discrete Dynamics

Shu Hao Liou, Chia-Chu Chen

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A detail study on the in-degree distribution (ID) of cellular automata is obtained by exact enumeration. The results indicate large deviation from multi-scaling and classification according to various IDs are discussed. We further augment the transfer matrix such that the distributions for more complicated rules are obtained. Dependence of ID on the lattice size have also been found for some rules including R50 and R77.

Original languageEnglish
Article number1250023
JournalInternational Journal of Modern Physics B
Volume26
Issue number4
DOIs
Publication statusPublished - 2012 Feb 10

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counting
enumeration
cellular automata
deviation
scaling

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

Cite this

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abstract = "A detail study on the in-degree distribution (ID) of cellular automata is obtained by exact enumeration. The results indicate large deviation from multi-scaling and classification according to various IDs are discussed. We further augment the transfer matrix such that the distributions for more complicated rules are obtained. Dependence of ID on the lattice size have also been found for some rules including R50 and R77.",
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Direct Counting Analysis On Network Generated by Discrete Dynamics. / Liou, Shu Hao; Chen, Chia-Chu.

In: International Journal of Modern Physics B, Vol. 26, No. 4, 1250023, 10.02.2012.

Research output: Contribution to journalArticle

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