Two applications of percolation to cellular automata.

DOI10.1007/BF02180134zbMath1080.82563OpenAlexW1988060626MaRDI QIDQ1593206

Jeffrey E. Steif

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02180134

zbMATH Keywords

cellular automatapercolation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Dynamical aspects of cellular automata (37B15) Time-dependent percolation in statistical mechanics (82C43)

Cites Work

• Unnamed Item
• The one-dimensional cyclic cellular automaton: A system with deterministic dynamics that emulates an interacting particle system with stochastic dynamics
• Organizing centers in a cellular excitable medium
• Some rigorous results for the Greenberg-Hastings model
• Multicolor particle systems with large threshold and range
• Clustering in the one-dimensional three-color cyclic cellular automaton
• Metastability in the Greenberg-Hastings model
• The threshold voter automaton at a critical point
• Fixation results for threshold voter systems
• Spatial Patterns for Discrete Models of Diffusion in Excitable Media
• Asymptotic Behavior of Excitable Cellular Automata

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