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Cycles of characteristic matrices of cellular automata with periodic boundary condition

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In this note, we will investigate some relations among powers of characteristic matrices of uniform cellular automata configured with rule 102 and periodic boundary condition.

Abstract

In this note, we will investigate some relations among powers of characteristic matrices of uniform cellular automata configured with rule 102 and periodic boundary condition.

참고문헌 (10)

  1. P.P. Chaudhuri, "Additive celullar automata theory and applications" (1997), IEEE Computer Society Press, Los Alamitos California 1
  2. Z. Cinkir, "Reversivility of 1D cellular automata with periodic boundary over nite elds Zp", J. Stat. Phys, 143(4), pp.807~823 (2011)
  3. S. Das, "Characterization of 1-d periodic boundary reversible CA", Electron. Notes Theor. Comput. Sci, 252, pp.205~227 (2009)
  4. 김재겸, "A CHARACTERIZATION OF CYCLE LENGTHS OF CELLULAR AUTOMATA", 충청수학회지, 23(4), pp.785~792 (2010), 충청수학회
  5. J.G. Kim, "Characterization of cellular automata with rule 102 and periodic boundary condition, submitted", ~
  6. 김재겸, "On state transition diagrams of cellular automata", East Asian Mathematical Journal, 25(4), pp.517~525 (2009), 영남수학회
  7. J. von Neumann, "The theory of self-reproducing automata" (1966), Univ. of Illinois Press, Univ. and London
  8. N. Nobe, "On reversibility of cellular automata with periodic boundary condition", J. Phys. A: Math. Gen, 37, pp.5789~5804 (2004)
  9. W. Pries, "Group properties of cellular automata and VLSI applications", IEEE Trans. Computers, C-35(12), pp.1013~1024 (1986)
  10. S.Wolfram, "Cellular automata and complexity-Collected Papers" (1994), Addison Wesley

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