The equality of fractional dimensions for certain cellular automata

DOI10.1016/0167-2789(87)90073-XzbMath0634.68046OpenAlexW2036716999MaRDI QIDQ1097033

Stephen J. Willson

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90073-x

zbMATH Keywords

cellular automatachaotic behaviorfractalsHausdorff dimensionsgrowth rate dimensionKolmogorov dimensions

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items (11)

A variational formula for dimension spectra of linear cellular automata ⋮ Computing fractal dimensions for additive cellular automata ⋮ Global analysis of self-similarity features of cellular automata: selected examples ⋮ Cellular automata, matrix substitutions and fractals ⋮ On the sensitivity of additive cellular automata in Besicovitch topologies ⋮ Cellular automata and multifractals: Dimension spectra of linear cellular automata ⋮ Calculating growth rates and moments for additive cellular automata ⋮ Self-similarity of linear cellular automata ⋮ Approximate self-assembly of the Sierpinski triangle ⋮ Graphical limit sets for general cellular automata ⋮ Characteristic parameters and classification of one-dimensional cellular automata

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• Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
• Two definitions of fractional dimension
• On the ergodic theory of cellular automata

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