Self-Similar Structure of rescaled Evolution Sets of Cellular Automata II

Abstract

The description of the rescaled evolution set of p-Fermat cellular automata developed in the first part of this paper is applied for the calculation of the Hausdorff dimension of this set. The scaling procedure is analyzed and an appropriate scaling sequence for cellular automata with states in the integers modulo m is given. New proof of the main theorem of the first part of the paper is presented for the linear cellular automata with states in the integers modulo a power of prime number.

DOI: 10.1142/S0218127401002511

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Cite this paper

@article{Haeseler2001SelfSimilarSO, title={Self-Similar Structure of rescaled Evolution Sets of Cellular Automata II}, author={Fritz von Haeseler and Heinz-Otto Peitgen and Guentcho Skordev}, journal={I. J. Bifurcation and Chaos}, year={2001}, volume={11}, pages={927-942} }