Cyclic cellular automata and related processes

DOI10.1016/0167-2789(90)90170-TzbMath0729.68054OpenAlexW1969207925MaRDI QIDQ807038

Robert Fisch

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90170-t

zbMATH Keywords

continuous-time Markov processescyclic cellular automatondiscrete-time process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Cellular automata (computational aspects) (68Q80)

Related Items

Dynamic of cyclic automata over \(\mathbb Z^2\), Dynamic behavior of cyclic automata networks, Self-organisation in cellular automata with coalescent particles: qualitative and quantitative approaches, Cyclic automata networks on finite graphs, Asymptotic behaviour of the one-dimensional ``rock-paper-scissors cyclic cellular automaton, Clustering in the three and four color cyclic particle systems in one dimension, Quasilinear cellular automata, Representation of geometrical and topological quantities in cellular automata, Synchronization of finite-state pulse-coupled oscillators

Cites Work

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• The one-dimensional cyclic cellular automaton: A system with deterministic dynamics that emulates an interacting particle system with stochastic dynamics
• Flux and fixation in cyclic particle systems
• Clustering in the one-dimensional three-color cyclic cellular automaton
• Ergodic theorems for weakly interacting infinite systems and the voter model
• A model for spatial conflict