CONVERGENCE TO THE LIMIT SET OF LINEAR CELLULAR AUTOMATA

Author:

Matsuto Mie1,Takeo Fukiko2

Affiliation:

1. Doctoral Research Course in Human Culture, Ochanomizu University 2-1-1, Otsuka, Bunkyou-ku, Tokyo 112-8610, Japan

2. Department of Information Sciences, Ochanomizu University 2-1-1, Otsuka, Bunkyou-ku, Tokyo 112-8610, Japan

Publisher

SUT Journal of Mathematics - Tokyo University of Science

Subject

General Mathematics

Reference13 articles.

1. [1] F.v.Haeseler, H.-O.Peitgen and G.Skordev, Linear cellular automata, substitutions, hierarchical iterated function systems and attractors. Fractal Geometry and Computer Graphics, J.L.Encarnação, H.-O.Peitgen, G.Sakas, and G.Englert, Eds. Springer-Verlag, 1992.

2. [2] C. Kuratowski, Topologie I (2nd ed.), Monografie Matematyczne Vol. 20 (PWN, Warsaw, 1948), 241–250.

3. [3] E. Jen, Aperiodicity in One-dimensional Cellular Automata. Physica D 45 (1990), 3–18.

4. [4] M. Matsuto and F. Takeo, Classification of some rules of cellular automata. Bull. Sci. Josai Univ. (1997), no. 1, 63–76.

5. [5] M. Matsuto and F. Takeo, The limit set of cellular automata. Natur. Sci. Rep. Ochanomizu Univ. 48 (1997), 9–22.

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1. CONVERGENCE TO THE LIMIT SET OF LINEAR CELLULAR AUTOMATA, II;SUT Journal of Mathematics;2000-06-01

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