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Ergodic properties and thermodynamic behavior of elementary reversible cellular automata. I. Basic properties

https://doi.org/10.1007/bf01044442
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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-07171-7openalex-snapshot
Dynamical Systems, Theory and Applications
inferredcites →https://doi.org/10.1007/978-1-4615-6927-5openalex-snapshot
Ergodic Theory
inferredcites →https://doi.org/10.1007/978-3-642-82657-3openalex-snapshot
Disordered Systems and Biological Organization
inferredcites →https://doi.org/10.1007/bf01033083openalex-snapshot
Fast algorithm for the simulation of Ising models
inferredcites →https://doi.org/10.1007/bf01223745openalex-snapshot
Algebraic properties of cellular automata
inferredcites →https://doi.org/10.1016/s0003-4916(86)80006-9openalex-snapshot
Deterministic ising dynamics
inferredcites →https://doi.org/10.1063/1.1666083openalex-snapshot
Thermodynamics and Hydrodynamics for a Modeled Fluid
inferredcites →https://doi.org/10.1070/rm1963v018n05abeh004130openalex-snapshot
PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
inferredcites →https://doi.org/10.1088/0305-4470/17/8/004openalex-snapshot
Invariant in cellular automata
inferredcites →https://doi.org/10.1088/0305-4470/19/16/003openalex-snapshot
Invariants in automata networks
inferredcites →https://doi.org/10.1088/0305-4470/21/15/018openalex-snapshot
Extensions of Q2R: Potts model and other lattices
inferredcites →https://doi.org/10.1103/physrevlett.59.2499openalex-snapshot
Reversible Cellular Automata and Statistical Mechanics
inferredcites →https://doi.org/10.1103/revmodphys.55.601openalex-snapshot
Statistical mechanics of cellular automata
inferredcites →https://doi.org/10.1201/9781003069515openalex-snapshot
Hamiltonian Dynamical Systems
inferredcites →https://doi.org/10.1209/0295-5075/6/6/015openalex-snapshot
Three-Dimensional Ising Spin Glasses and Ergodicity Breaking

What points at this work

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

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Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction
inferred← citeshttps://doi.org/10.1007/s10955-015-1281-2openalex-snapshot
Statistical Mechanics of Surjective Cellular Automata
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90188-uopenalex-snapshot
Relaxation properties of elementary reversible cellular automata
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90192-ropenalex-snapshot
Knot invariants and cellular automata
inferred← citeshttps://doi.org/10.1016/0167-2789(91)90150-8openalex-snapshot
Additive conserved quantities in discrete-time lattice dynamical systems
inferred← citeshttps://doi.org/10.1016/0370-1573(92)90163-topenalex-snapshot
Chaos and time-reversal symmetry. Order and chaos in reversible dynamical systems
inferred← citeshttps://doi.org/10.1016/j.physd.2004.06.010openalex-snapshot
Coupled-cellular-automata study on stochastic and pattern-formation dynamics under spatiotemporal fluctuation of temperature
inferred← citeshttps://doi.org/10.1016/j.tcs.2004.06.010openalex-snapshot
On conservative and monotone one-dimensional cellular automata and their particle representation
inferred← citeshttps://doi.org/10.1016/j.tcs.2010.07.011openalex-snapshot
An order-preserving property of additive invariants for Takesue-type reversible cellular automata
inferred← citeshttps://doi.org/10.1016/s0167-2789(96)00260-6openalex-snapshot
Boltzmann-type equations for elementary reversible cellular automata
inferred← citeshttps://doi.org/10.1088/0305-4470/37/45/006openalex-snapshot
Linear reversible second-order cellular automata and their first-order matrix equivalents
inferred← citeshttps://doi.org/10.1088/0951-7715/15/6/305openalex-snapshot
Conservation laws in cellular automata
inferred← citeshttps://doi.org/10.1088/1751-8113/40/26/004openalex-snapshot
Linearizable cellular automata
inferred← citeshttps://doi.org/10.1088/1751-8121/aadc29openalex-snapshot
Two extensions of exact nonequilibrium steady states of a boundary-driven cellular automaton
inferred← citeshttps://doi.org/10.1103/physrevb.102.180302openalex-snapshot
Nonergodic quantum dynamics from deformations of classical cellular automata
inferred← citeshttps://doi.org/10.1103/physreve.111.054118openalex-snapshot
Typicality from concentration of measure in models with binary state variables
inferred← citeshttps://doi.org/10.1103/physreve.97.062144openalex-snapshot
Analytic model of thermalization: Quantum emulation of classical cellular automata
inferred← citeshttps://doi.org/10.1103/physrevlett.131.060403openalex-snapshot
Measurement and Feedback Driven Entanglement Transition in the Probabilistic Control of Chaos
inferred← citeshttps://doi.org/10.1103/physrevlett.64.252openalex-snapshot
Fourier’s law and the Green-Kubo formula in a cellular-automaton model
inferred← citeshttps://doi.org/10.20381/ruor-5787openalex-snapshot
Properties and Behaviours of Fuzzy Cellular Automata
inferred← citeshttps://doi.org/10.48550/arxiv.0807.3046openalex-snapshot
An order-preserving property of additive invariant for Takesue-type reversible cellular automata
inferred← citeshttps://doi.org/10.48550/arxiv.1907.06012openalex-snapshot
Efficient methods to determine the reversibility of general 1D linear cellular automata in polynomial complexity
inferred← citeshttps://doi.org/10.5772/15768openalex-snapshot
Nonequilibrium Phase Transition of Elementary Cellular Automata with a Single Conserved Quantity
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