Global analysis of self-similarity features of cellular automata: selected examples

DOI10.1016/0167-2789(95)00088-LzbMath0890.58030OpenAlexW1984300810MaRDI QIDQ1896514

Fritz von Haeseler, Heinz-Otto Peitgen, Gencho Skordev

Publication date: 29 August 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00088-l

zbMATH Keywords

self-similaritycellular automataevolution patternsiterated functional systems

Mathematics Subject Classification ID

Topological dynamics (37B99) Cellular automata (computational aspects) (68Q80)

Related Items (8)

On the sensitivity of additive cellular automata in Besicovitch topologies ⋮ VON KOCH AND THUE-MORSE REVISITED ⋮ Self-Similar Functions Generated by Cellular Automata ⋮ Contraction ratios for graph-directed iterated constructions ⋮ RESCALED EVOLUTION SETS OF LINEAR CELLULAR AUTOMATA ON A CYLINDER ⋮ Replication in one-dimensional cellular automata ⋮ On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials ⋮ Graphical limit sets for general cellular automata

Cites Work

• Two-dimensional cellular automata
• On the structure of Mandelbrot's percolation process and other random Cantor sets
• Cellular automata can generate fractals
• Cellular automata and multifractals: Dimension spectra of linear cellular automata
• The equality of fractional dimensions for certain cellular automata
• Computing fractal dimensions for additive cellular automata
• Recurrent iterated function systems
• Recurrent sets
• Calculating growth rates and moments for additive cellular automata
• Self-similarity of linear cellular automata
• Cellular automata, matrix substitutions and fractals
• Linear cellular automata, finite automata and Pascal's triangle
• Mixing Markov Chains and Their Images
• Hausdorff Dimension in Graph Directed Constructions
• Self-Similar Sets. I. Topological MARKOV Chains and Mixed Self-Similar Sets
• Statistical mechanics of cellular automata
• Iterated function systems and the global construction of fractals
• Dimension and Dynamics for Fractal Recurrent Sets
• Multifractal Decompositions of Digraph Recursive Fractals
• RESCALED EVOLUTION SETS OF LINEAR CELLULAR AUTOMATA ON A CYLINDER
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global analysis of self-similarity features of cellular automata: selected examples