Calculating growth rates and moments for additive cellular automata

DOI10.1016/0166-218X(92)90295-LzbMath0738.68060MaRDI QIDQ1183346

Stephen J. Willson

Publication date: 28 June 1992

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

block decompositionsadditive cellular automatacalculation of momentsaccessible transition matrixasymptotic behavior of the graphs of cellular automatagrowth rates measuring

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items

Limit sets of automatic sequences., Scaling properties of generalized Carlitz sequences of polynomials, A variational formula for dimension spectra of linear cellular automata, Global analysis of self-similarity features of cellular automata: selected examples, Linear cellular automata, finite automata and Pascal's triangle, Cellular automata and multifractals: Dimension spectra of linear cellular automata, RESCALED EVOLUTION SETS OF LINEAR CELLULAR AUTOMATA ON A CYLINDER, The self-affine property of \((U,r)\)-Carlitz sequences of polynomials deciphered in terms of graph directed IFS, Multifractals Defined by Nonlinear Cellular Automata, SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA I, SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA II, On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials

Cites Work

• Cellular automata can generate fractals
• Limiting behaviour of linear cellular automata
• The equality of fractional dimensions for certain cellular automata
• Computing fractal dimensions for additive cellular automata
• Tessellation structures for reproduction of arbitrary patterns
• Statistical mechanics of cellular automata
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