Random linear cellular automata: Fractals associated with random multiplication of polynomials
Author:
Affiliation:
1. DEPARTMENT OF MATHEMATICS UNIVERSITY OF NORTH TEXAS DENTON
2. GEVIS, UNIVERSITÄT BREMEN UNIVERSITÄTSALLEE
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/math1924/26/2/26_2_381/_pdf
Reference24 articles.
1. [1] J.-P. Allouche, F. v. Haeseler, H.-O. Peitgen and G. Skordev, Linear cellular automata, finite automata and Pascal's triangle, Discrete Appl. Math., 66 (1996), 1-22.
2. [2] A. Burks, Essays on Cellular Automata, University of Illinois, Urbana, 1970.
3. [3] K. Falconer, The Geometry of Fractal Sets, Cambridge Univ. Press, New York, 1985.
4. [4] F. v. Haeseler, H.-0. Peitgen and G. Skordev, Pascal's triangle, dynamical systems and attractors, Ergod. Th. and Dyn. Systems, 12 (1992), 479-486.
5. [5] F. v. Haeseler, H.-0. Peitgen and G. Skordev, Linear cellular automata, substitutions, hi-erarchical iterated function systems and attractors, in: Fractal Geometry and Comput- ergraphics, ed. Encarnacao J.L. et al., Springer, Heidelberg, 1992.
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1. Ergodic Theory of Cellular Automata;Computational Complexity;2012
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