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The kink of cellular automaton rule 18 performs a random walk

https://doi.org/10.1007/bf01058766
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What this work says

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

inferredcites →https://doi.org/10.1016/0167-2789(84)90245-8openalex-snapshot
Universality and complexity in cellular automata
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/10.1016/0167-2789(84)90248-3openalex-snapshot
Chaos and diffusion in deterministic cellular automata
inferredcites →https://doi.org/10.1016/0167-2789(90)90169-popenalex-snapshot
Aperiodicity in one-dimensional cellular automata

What points at this work

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

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Computation in Cellular Automata: A Selected Review
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Ergodic Theory of Cellular Automata
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Cellular Automata, Emergent Phenomena in
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Cellular Automata, Emergent Phenomena in
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Ergodic Theory of Cellular Automata
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Ergodic Theory of Cellular Automata
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Emergent Phenomena in Cellular Automata
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Orbits of Bernoulli Measures in Cellular Automata
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Beyond Solvable Elementary Rules
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Solving the Initial Value Problem for Cellular Automata by Pattern Decomposition
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Symbolic Dynamics of Cellular Automata
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Local Information in One-Dimensional Cellular Automata
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Orbits of Bernoulli Measures in Cellular Automata
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The Complexity of Cellular Automata
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The attractor?basin portrait of a cellular automaton
inferred← citeshttps://doi.org/10.1007/bf02186748openalex-snapshot
Kink movements and percolation in the binary additive cellular automaton
inferred← citeshttps://doi.org/10.1007/bf02187067openalex-snapshot
The dynamics of defect ensembles in one-dimensional cellular automata
inferred← citeshttps://doi.org/10.1007/s10701-024-00814-1openalex-snapshot
What Is a Macrostate? Subjective Observations and Objective Dynamics
inferred← citeshttps://doi.org/10.1007/s10955-010-0103-9openalex-snapshot
The One-Dimensional Exactly 1 Cellular Automaton: Replication, Periodicity, and Chaos from Finite Seeds
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/s11424-006-0128-yopenalex-snapshot
The Relationships of Three Elementary Cellular Automata
inferred← citeshttps://doi.org/10.1007/springerreference_60223openalex-snapshot
Cellular Automata, Emergent Phenomena in
inferred← citeshttps://doi.org/10.1016/0375-9601(92)90718-2openalex-snapshot
Transient behavior of cellular automaton rule 110
inferred← citeshttps://doi.org/10.1016/j.physd.2011.06.015openalex-snapshot
Replication in one-dimensional cellular automata
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/10.1017/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/10.1063/1.165986openalex-snapshot
Attractor vicinity decay for a cellular automaton
inferred← citeshttps://doi.org/10.1063/1.5021130openalex-snapshot
Local causal states and discrete coherent structures
inferred← citeshttps://doi.org/10.1080/03081079.2012.695898openalex-snapshot
The ergodic theory of cellular automata
inferred← citeshttps://doi.org/10.1088/0305-4470/35/13/102openalex-snapshot
A cellular automaton with two phase transitions
inferred← citeshttps://doi.org/10.1088/0951-7715/6/6/010openalex-snapshot
Partially permutive cellular automata
inferred← citeshttps://doi.org/10.1088/0951-7715/6/6/011openalex-snapshot
Random walks in cellular automata
inferred← citeshttps://doi.org/10.1088/0951-7715/8/4/002openalex-snapshot
Cellular automata with almost periodic initial conditions
inferred← citeshttps://doi.org/10.1103/physreve.49.2764openalex-snapshot
Extended mean-field study of a stochastic cellular automaton
inferred← citeshttps://doi.org/10.1103/physreve.49.5900openalex-snapshot
Evolution and extinction of families in cellular automata
inferred← citeshttps://doi.org/10.1103/physreve.49.r3555openalex-snapshot
Universality change in stochastic cellular automaton with applied site exchange
inferred← citeshttps://doi.org/10.1103/physreve.51.6261openalex-snapshot
Estimation of the order-parameter exponent of critical cellular automata using the enhanced coherent anomaly method
inferred← citeshttps://doi.org/10.1103/revmodphys.76.663openalex-snapshot
Universality classes in nonequilibrium lattice systems
inferred← citeshttps://doi.org/10.1140/epjp/s13360-023-04160-5openalex-snapshot
Quantum-inspired identification of complex cellular automata
inferred← citeshttps://doi.org/10.1162/isal_a_00277openalex-snapshot
Visualizing computation in large-scale cellular automata
inferred← citeshttps://doi.org/10.1214/14-aop918openalex-snapshot
Percolation and disorder-resistance in cellular automata
inferred← citeshttps://doi.org/10.32657/10356/153399openalex-snapshot
Quantum inference protocol : from origination to application
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Orbits of Bernoulli Measures in Cellular Automata
inferred← citeshttps://doi.org/10.48550/arxiv.math/0507091openalex-snapshot
Spectral domain boundaries in cellular automata
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Asymptotic behaviour of cellular automata : computation and randomness
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