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The dynamics of defect ensembles in one-dimensional cellular automata

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-662-02866-7openalex-snapshot
Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory
inferredcites →https://doi.org/10.1007/bf01020872openalex-snapshot
Asymptotic behavior of densities for two-particle annihilating random walks
inferredcites →https://doi.org/10.1007/bf01050428openalex-snapshot
Model of cluster growth and phase separation: Exact results in one dimension
inferredcites →https://doi.org/10.1007/bf01058766openalex-snapshot
The kink of cellular automaton rule 18 performs a random walk
inferredcites →https://doi.org/10.1007/bf01299385openalex-snapshot
Ergodic properties of certain surjective cellular automata
inferredcites →https://doi.org/10.1007/bfb0067306openalex-snapshot
Additive and Cancellative Interacting Particle Systems
inferredcites →https://doi.org/10.1016/0167-2789(84)90246-xopenalex-snapshot
Applications of ergodic theory and sofic systems to cellular automata
inferredcites →https://doi.org/10.1017/cbo9780511608728openalex-snapshot
Ergodic Theory
inferredcites →https://doi.org/10.1088/0951-7715/6/6/010openalex-snapshot
Partially permutive cellular automata
inferredcites →https://doi.org/10.1088/0951-7715/6/6/011openalex-snapshot
Random walks in cellular automata
inferredcites →https://doi.org/10.1090/conm/135/1185094openalex-snapshot
Markov subgroups of (𝑍/2𝑍)^{𝑍²}
inferredcites →https://doi.org/10.1103/physreva.28.3666openalex-snapshot
New mechanism for deterministic diffusion
inferredcites →https://doi.org/10.1103/physreva.44.866openalex-snapshot
Particlelike structures and their interactions in spatiotemporal patterns generated by one-dimensional deterministic cellular-automaton rules
inferredcites →https://doi.org/10.1214/aop/1176994264openalex-snapshot
Limiting Point Processes for Rescalings of Coalescing and Annihilating Random Walks on $Z^d$

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/3527602968.ch4openalex-snapshot
Computation in Cellular Automata: A Selected Review
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/s10955-017-1760-8openalex-snapshot
Self-organisation in Cellular Automata with Coalescent Particles: Qualitative and Quantitative Approaches
inferred← citeshttps://doi.org/10.1016/0167-2789(95)00208-1openalex-snapshot
Cellular automata for contour dynamics
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.05.002openalex-snapshot
Automated pattern detection—An algorithm for constructing optimally synchronizing multi-regular language filters
inferred← citeshttps://doi.org/10.1016/j.tcs.2007.03.014openalex-snapshot
Defect particle kinematics in one-dimensional cellular automata
inferred← citeshttps://doi.org/10.1016/s0167-2789(01)00252-4openalex-snapshot
Upper bound on the products of particle interactions in cellular automata
inferred← citeshttps://doi.org/10.1016/s0167-2789(96)00258-8openalex-snapshot
The topological skeleton of cellular automaton dynamics
inferred← citeshttps://doi.org/10.1017/s0143385706000599openalex-snapshot
Algebraic invariants for crystallographic defects in cellular automata
inferred← citeshttps://doi.org/10.1051/ita:2007049openalex-snapshot
Exemples de classes d'automates cellulaires
inferred← citeshttps://doi.org/10.1063/1.5021130openalex-snapshot
Local causal states and discrete coherent structures
inferred← citeshttps://doi.org/10.15760/etd.275openalex-snapshot
Information Processing in Two-Dimensional Cellular Automata
inferred← citeshttps://doi.org/10.4204/eptcs.90.8openalex-snapshot
Entry times in automata with simple defect dynamics
inferred← citeshttps://doi.org/10.48550/arxiv.math/0507091openalex-snapshot
Spectral domain boundaries in cellular automata
inferred← citeshttps://doi.org/10.48550/arxiv.math/0507167openalex-snapshot
Algebraic invariants for crystallographic defects in cellular automata
inferred← citeshttps://doi.org/10.70675/94f26632z88a9z4fbbzb592z9bd82dbe8eacopenalex-snapshot
Asymptotic behaviour of cellular automata : computation and randomness
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