Computing fractal dimensions for additive cellular automata

DOI10.1016/0167-2789(87)90074-1zbMath0634.68047OpenAlexW2064955512MaRDI QIDQ1097034

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)90074-1

zbMATH Keywords

fractal dimensiongraphs of additive cellular automatasymbol blocks

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items (18)

Line complexity asymptotics of polynomial cellular automata ⋮ A variational formula for dimension spectra of linear cellular automata ⋮ The equality of fractional dimensions for certain cellular automata ⋮ Global analysis of self-similarity features of cellular automata: selected examples ⋮ Cellular automata, matrix substitutions and fractals ⋮ A gauge invariant reversible cellular automaton ⋮ Robust periodic solutions and evolution from seeds in one-dimensional edge cellular automata ⋮ On the sensitivity of additive cellular automata in Besicovitch topologies ⋮ The one-dimensional exactly 1 cellular automaton: replication, periodicity, and chaos from finite seeds ⋮ Unnamed Item ⋮ 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 ⋮ Long-range correlations in chaotic cellular automata ⋮ Replication in one-dimensional cellular automata ⋮ On the evolution of the cellular automaton of rule 150 from some simple initial states ⋮ Graphical limit sets for general cellular automata ⋮ Nearest neighbor cellular automata over \(Z_ 2\) with periodic boundary conditions

Uses Software

• EISPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic properties of cellular automata
• Computation theory of cellular automata
• The equality of fractional dimensions for certain cellular automata
• The realization of distances in measurable subsets covering \(R^ n\).
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Tessellation structures for reproduction of arbitrary patterns
• Statistical mechanics of cellular automata
• Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
• Twenty Problems in the Theory of Cellular Automata

This page was built for publication: Computing fractal dimensions for additive cellular automata