Self-Similar Functions Generated by Cellular Automata

DOI10.1142/S0218348X98000420zbMath0990.37008OpenAlexW2052085056MaRDI QIDQ2714129

Anna Rodenhausen, Heinz-Otto Peitgen, Gencho Skordev

Publication date: 11 June 2001

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x98000420

zbMATH Keywords

self-similaritycellular automataHausdorff dimension

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15)

Related Items (2)

Unnamed Item ⋮ De Bruijn digraphs and affine transformations

Cites Work

• Unnamed Item
• Topological and measure-theoretic properties of one-dimensional cellular automata
• Recurrent sets
• Cellular automata, matrix substitutions and fractals
• Global analysis of self-similarity features of cellular automata: selected examples
• Representation by an automaton of continuous functions of the torus
• On ergodic one-dimensional cellular automata
• A characterization of self-affine functions
• Semigroups of shift register counting matrices
• Mixing properties of one-dimensional cellular automata
• Endomorphisms and automorphisms of the shift dynamical system

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