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The one-dimensional cyclic cellular automaton: A system with deterministic dynamics that emulates an interacting particle system with stochastic dynamics
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4613-8542-4openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1007/springerreference_205412openalex-snapshot
Large Deviations and Applications
inferredcites →https://doi.org/10.1137/1.9781611970241openalex-snapshot
Large Deviations and Applications
inferredcites →https://doi.org/10.1201/9781315373140-16openalex-snapshot
Interacting Particle Systems
inferredcites →https://doi.org/10.1214/aop/1176991492openalex-snapshot
Flux and Fixation in Cyclic Particle Systems
inferredcites →https://doi.org/10.7551/mitpress/1763.001.0001openalex-snapshot
Cellular Automata Machines
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/cplx.20391openalex-snapshot
Emulation and complementarity in one‐dimensional alternatives of the axelrod model with binary features
inferred← citeshttps://doi.org/10.1007/978-0-387-30440-3_178openalex-snapshot
Ergodic Theory of Cellular Automata
inferred← citeshttps://doi.org/10.1007/978-1-4612-0451-0_8openalex-snapshot
Cyclic Cellular Automata in Two Dimensions
inferred← citeshttps://doi.org/10.1007/978-1-4614-1800-9_62openalex-snapshot
Ergodic Theory of Cellular Automata
inferred← citeshttps://doi.org/10.1007/978-1-4939-8700-9_178openalex-snapshot
Ergodic Theory of Cellular Automata
inferred← citeshttps://doi.org/10.1007/978-3-642-22321-1_22openalex-snapshot
Self-organization in Cellular Automata: A Particle-Based Approach
inferred← citeshttps://doi.org/10.1007/978-3-642-33350-7_15openalex-snapshot
Behavior of Social Dynamical Models I: Fixation in the Symmetric Cyclic System
inferred← citeshttps://doi.org/10.1007/978-3-642-33350-7_16openalex-snapshot
Behavior of Social Dynamical Models II: Clustering for Some Multitype Particle Systems with Confidence Threshold
inferred← citeshttps://doi.org/10.1007/bf01046781openalex-snapshot
Multicolor particle systems with large threshold and range
inferred← citeshttps://doi.org/10.1007/bf01890834openalex-snapshot
Threshold-range scaling of excitable cellular automata
inferred← citeshttps://doi.org/10.1007/bf02180134openalex-snapshot
Two applications of percolation to cellular automata
inferred← citeshttps://doi.org/10.1007/s10955-017-1760-8openalex-snapshot
Self-organisation in Cellular Automata with Coalescent Particles: Qualitative and Quantitative Approaches
inferred← citeshttps://doi.org/10.1007/s10955-018-2004-2openalex-snapshot
Clustering in the Three and Four Color Cyclic Particle Systems in One Dimension
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90170-topenalex-snapshot
Cyclic cellular automata and related processes
inferred← citeshttps://doi.org/10.1017/etds.2016.46openalex-snapshot
Characterization of sets of limit measures of a cellular automaton iterated on a random configuration
inferred← citeshttps://doi.org/10.1038/s41598-022-18953-8openalex-snapshot
Learning to predict synchronization of coupled oscillators on randomly generated graphs
inferred← citeshttps://doi.org/10.1080/03081079.2012.695898openalex-snapshot
The ergodic theory of cellular automata
inferred← citeshttps://doi.org/10.1214/17-aap1350openalex-snapshot
Limiting behavior of 3-color excitable media on arbitrary graphs
inferred← citeshttps://doi.org/10.1214/19-ejp297openalex-snapshot
Ergodicity of some classes of cellular automata subject to noise
inferred← citeshttps://doi.org/10.1214/20-aap1651openalex-snapshot
Asymptotic behaviour of the one-dimensional “rock–paper–scissors” cyclic cellular automaton
inferred← citeshttps://doi.org/10.1214/22-aap1885openalex-snapshot
Cyclic cellular automata and Greenberg–Hastings models on regular trees
inferred← citeshttps://doi.org/10.1214/aop/1176989705openalex-snapshot
Clustering in the One-Dimensional Three-Color Cyclic Cellular Automaton
inferred← citeshttps://doi.org/10.48550/arxiv.1301.1998openalex-snapshot
Characterisation of sets of limit measures after iteration of a cellular automaton on an initial measure
inferred← citeshttps://doi.org/10.70675/94f26632z88a9z4fbbzb592z9bd82dbe8eacopenalex-snapshot
Asymptotic behaviour of cellular automata : computation and randomness
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