참고문헌
-
Z. Cinkir, H. Akin and I. Siap, Reversivility of 1D cellular automata with periodic boundary over finite fields
${\mathbb{Z}}_p$ , J. Stat. Phys. 143 (2011), no. 4, 807-823. https://doi.org/10.1007/s10955-011-0202-2 - S. Das and B. K. Sikdar, Characterization of 1-d periodic boundary reversible CA, Electr. Notes in Theoretic Comp. Sci. 252 (2009), 205-227. https://doi.org/10.1016/j.entcs.2009.09.022
- J. G. Kim, Characterization of cellular automata with rule 102 and periodic boundary condition, J. Chungcheong Math. Soc. 24 (2011), no. 4, 759-767.
- J. G. Kim, Cycles of characteristic matrices of cellular automata with periodic boundary condition, Korean J. Math. 19 (2011), no. 3, 291-300. https://doi.org/10.11568/kjm.2011.19.3.291
- J. G. Kim, Periodicities of some additive cellular automata, East Asian Math. J. 31 (2015), no. 1, 19-25. https://doi.org/10.7858/eamj.2015.002
- J. G. Kim, Periodicities of some hybrid cellular automata with rules 102 and 60, J. Chungcheong Math. Soc. 27 (2014), no. 4, 543-551. https://doi.org/10.14403/jcms.2014.27.4.543
- J. von Neumann, The theory of self-reproducing automata, A. W. Burks ed. Univ. of Illinois Press, Univ. and London, 1966.
- N. Nobe and F. Yura, On reversibility of cellular automata with periodic boundary condition, J. Phys. A: Math. Gen. 37 (2004), 5789-5804. https://doi.org/10.1088/0305-4470/37/22/006