The kink of cellular automaton Rule 18 performs a random walk

DOI10.1007/BF01058766zbMath0891.68065OpenAlexW2017640090MaRDI QIDQ1379393

Esa Nummelin, Kari Eloranta

Publication date: 13 July 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058766

zbMATH Keywords

random walkcellular automatonkink

Mathematics Subject Classification ID

Topological dynamics (37B99) Cellular automata (computational aspects) (68Q80) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (12)

Kink movements and percolation in the binary additive cellular automaton ⋮ The dynamics of defect ensembles in one-dimensional cellular automata ⋮ The relationships of three elementary cellular automata ⋮ Self-organisation in cellular automata with coalescent particles: qualitative and quantitative approaches ⋮ Defect particle kinematics in one-dimensional cellular automata ⋮ The one-dimensional exactly 1 cellular automaton: replication, periodicity, and chaos from finite seeds ⋮ Exemples de classes d'automates cellulaires ⋮ The attractor-basin portrait of a cellular automaton ⋮ Upper bound on the products of particle interactions in cellular automata ⋮ Replication in one-dimensional cellular automata ⋮ Universality classes in nonequilibrium lattice systems ⋮ Percolation and disorder-resistance in cellular automata

Cites Work

• Aperiodicity in one-dimensional cellular automata
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