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Deterministic one-dimensional cellular automata

Publication ,  Journal Article
Pitsianis, N; Tsalides, P; Bleris, GL; Thanailakis, A; Card, HC
Published in: Journal of Statistical Physics
July 1, 1989

A formal treatment of some of the properties of deterministic, rule 150, elementary one-dimensional cellular automata (CA) with null boundary conditions is presented. The general form of the characteristic polynomial of the CA global rule transition matrix is obtained. Mathematical relationships between the CA register lengths and the order of the corresponding group or semigroup structures are derived. © 1989 Plenum Publishing Corporation.

Duke Scholars

Published In

Journal of Statistical Physics

DOI

EISSN

1572-9613

ISSN

0022-4715

Publication Date

July 1, 1989

Volume

56

Issue

1-2

Start / End Page

99 / 112

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Pitsianis, N., Tsalides, P., Bleris, G. L., Thanailakis, A., & Card, H. C. (1989). Deterministic one-dimensional cellular automata. Journal of Statistical Physics, 56(1–2), 99–112. https://doi.org/10.1007/BF01044234
Pitsianis, N., P. Tsalides, G. L. Bleris, A. Thanailakis, and H. C. Card. “Deterministic one-dimensional cellular automata.” Journal of Statistical Physics 56, no. 1–2 (July 1, 1989): 99–112. https://doi.org/10.1007/BF01044234.
Pitsianis N, Tsalides P, Bleris GL, Thanailakis A, Card HC. Deterministic one-dimensional cellular automata. Journal of Statistical Physics. 1989 Jul 1;56(1–2):99–112.
Pitsianis, N., et al. “Deterministic one-dimensional cellular automata.” Journal of Statistical Physics, vol. 56, no. 1–2, July 1989, pp. 99–112. Scopus, doi:10.1007/BF01044234.
Pitsianis N, Tsalides P, Bleris GL, Thanailakis A, Card HC. Deterministic one-dimensional cellular automata. Journal of Statistical Physics. 1989 Jul 1;56(1–2):99–112.
Journal cover image

Published In

Journal of Statistical Physics

DOI

EISSN

1572-9613

ISSN

0022-4715

Publication Date

July 1, 1989

Volume

56

Issue

1-2

Start / End Page

99 / 112

Related Subject Headings

  • Fluids & Plasmas
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 02 Physical Sciences
  • 01 Mathematical Sciences