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From equilibrium spin models to probabilistic 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/bf01009958openalex-snapshot
Cellular automata and statistical mechanical models
inferredcites →https://doi.org/10.1007/bf01012715openalex-snapshot
Critical behavior of a three-dimensional dimer model
inferredcites →https://doi.org/10.1007/bf01012878openalex-snapshot
An exactly soluble case of the triangular ising model in a magnetic field
inferredcites →https://doi.org/10.1007/bf01014891openalex-snapshot
Phase transitions and universality in nonequilibrium steady states of stochastic Ising models
inferredcites →https://doi.org/10.1007/bf01018556openalex-snapshot
Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
inferredcites →https://doi.org/10.1007/bf01020578openalex-snapshot
Annealed and quenched inhomogeneous cellular automata (INCA)
inferredcites →https://doi.org/10.1007/bf01020784openalex-snapshot
Order and disorder lines in systems with competing interactions: I. Quantum spins atT=0
inferredcites →https://doi.org/10.1007/bf01033089openalex-snapshot
The kinetic Potts chain and related potts models with competing interactions
inferredcites →https://doi.org/10.1007/bf01309255openalex-snapshot
Phase transitions of cellular automata
inferredcites →https://doi.org/10.1007/bf01379769openalex-snapshot
Chemical reaction models for non-equilibrium phase transitions
inferredcites →https://doi.org/10.1016/0003-4916(79)90207-0openalex-snapshot
Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviour
inferredcites →https://doi.org/10.1016/0016-0032(58)90688-4openalex-snapshot
An introduction to probability theory and its applications
inferredcites →https://doi.org/10.1016/0370-1573(75)90034-4openalex-snapshot
Reggeon field theory: Formulation and use
inferredcites →https://doi.org/10.1016/0370-2693(78)90279-4openalex-snapshot
Critical exponents for the Reggeon quantum spin model
inferredcites →https://doi.org/10.1016/0370-2693(78)90626-3openalex-snapshot
Reggeon field theory and markov processes
inferredcites →https://doi.org/10.1016/0378-4371(80)90105-3openalex-snapshot
The problem of directed percolation
inferredcites →https://doi.org/10.1016/0550-3213(82)90538-7openalex-snapshot
Supersymmetric field theories and stochastic differential equations
inferredcites →https://doi.org/10.1051/jphys:01975003604028100openalex-snapshot
The Lagrangian theory of polymer solutions at intermediate concentrations
inferredcites →https://doi.org/10.1063/1.1665155openalex-snapshot
Ising-Model Spin Correlations on the Triangular Lattice. IV. Anisotropic Ferromagnetic and Antiferromagnetic Lattices
inferredcites →https://doi.org/10.1088/0022-3719/10/9/011openalex-snapshot
Crystal growth models and Ising models: Disorder points
inferredcites →https://doi.org/10.1088/0022-3719/6/23/019openalex-snapshot
Spin-phonon interactions and disorder points
inferredcites →https://doi.org/10.1088/0034-4885/45/6/001openalex-snapshot
Commensurate phases, incommensurate phases and the devil's staircase
inferredcites →https://doi.org/10.1088/0305-4470/11/10/018openalex-snapshot
Crystal growth models and Ising models. IV. Graphical solutions for correlations
inferredcites →https://doi.org/10.1088/0305-4470/13/12/002openalex-snapshot
Directed percolation and Reggeon field theory
inferredcites →https://doi.org/10.1088/0305-4470/14/10/005openalex-snapshot
Directed percolation: pseudo-correlation length
inferredcites →https://doi.org/10.1088/0305-4470/15/11/011openalex-snapshot
Roughening transitions and the zero-temperature triangular Ising antiferromagnet
inferredcites →https://doi.org/10.1088/0305-4470/16/11/003openalex-snapshot
Critical exponents of directed self-avoiding walks
inferredcites →https://doi.org/10.1088/0305-4470/16/4/003openalex-snapshot
Critical behaviour of directed self-avoiding walks
inferredcites →https://doi.org/10.1088/0305-4470/17/10/020openalex-snapshot
Inversion relations and disorder solutions on Potts models
inferredcites →https://doi.org/10.1088/0305-4470/17/14/008openalex-snapshot
Exact results for multiple state cellular automata
inferredcites →https://doi.org/10.1088/0305-4470/18/10/009openalex-snapshot
Disorder solution of a general checkerboard Ising model in a field and validity of the decimation approach
inferredcites →https://doi.org/10.1088/0305-4470/18/4/013openalex-snapshot
A disorder solution for a cubic Ising model
inferredcites →https://doi.org/10.1088/0305-4470/18/7/010openalex-snapshot
Susceptibility of the checkerboard Ising model
inferredcites →https://doi.org/10.1088/0305-4470/18/8/023openalex-snapshot
A criterion for disorder solutions of spin models
inferredcites →https://doi.org/10.1088/0305-4470/19/15/013openalex-snapshot
Pattern formation in reversible cellular automata
inferredcites →https://doi.org/10.1088/0305-4470/19/6/006openalex-snapshot
An α=1/2singularity in the vicinity of a disorder variety and its random walk interpretation
inferredcites →https://doi.org/10.1088/0305-4470/19/6/027openalex-snapshot
The vicinity of the disorder varieties: a systematic expansion
inferredcites →https://doi.org/10.1088/0305-4470/20/15/041openalex-snapshot
Dimensional reduction and correlation functions on 3D lattice models
inferredcites →https://doi.org/10.1103/physrevb.31.2941openalex-snapshot
Stochastic simulation of quantum systems and critical dynamics
inferredcites →https://doi.org/10.1103/physrevb.32.3354openalex-snapshot
Critical dynamics, Lifshitz tricriticality, and supersymmetry: The Ising model on the hcp lattice
inferredcites →https://doi.org/10.1103/physrevb.32.3358openalex-snapshot
Novel Lifshitz tricritical point and critical dynamics
inferredcites →https://doi.org/10.1103/physrevd.12.2514openalex-snapshot
Reggeon field theory on a lattice
inferredcites →https://doi.org/10.1103/physrevd.15.1756openalex-snapshot
Quantum spin model for Reggeon field theory
inferredcites →https://doi.org/10.1103/physrevlett.35.1678openalex-snapshot
Critical Behavior at the Onset of k→ -Space Instability on the λ Line
inferredcites →https://doi.org/10.1103/physrevlett.47.5openalex-snapshot
Directed Percolation in Two Dimensions: Numerical Analysis and an Exact Solution
inferredcites →https://doi.org/10.1103/physrevlett.52.871openalex-snapshot
Exact Results for Two- and Three-Dimensional Ising and Potts Models
inferredcites →https://doi.org/10.1103/physrevlett.53.1161openalex-snapshot
Crossover in an Exactly Solvable Dimer Model of Domain Walls with Dislocations
inferredcites →https://doi.org/10.1103/physrevlett.53.311openalex-snapshot
Equivalence of Cellular Automata to Ising Models and Directed Percolation
inferredcites →https://doi.org/10.1103/physrevlett.55.1707openalex-snapshot
Diffusion-controlled annihilation in the presence of particle sources: Exact results in one dimension
inferredcites →https://doi.org/10.1103/physrevlett.55.2527openalex-snapshot
Statistical Mechanics of Probabilistic Cellular Automata
inferredcites →https://doi.org/10.1103/physrevlett.55.657openalex-snapshot
Role of Irreversibility in Stabilizing Complex and Nonergodic Behavior in Locally Interacting Discrete Systems
inferredcites →https://doi.org/10.1103/physrevlett.58.1881openalex-snapshot
Low temperature expansions around the multiphase point of an hcp Ising model with competing interactions
inferredcites →https://doi.org/10.1103/revmodphys.49.435openalex-snapshot
Theory of dynamic critical phenomena
inferredcites →https://doi.org/10.1103/revmodphys.55.601openalex-snapshot
Statistical mechanics of cellular automata
inferredcites →https://doi.org/10.1107/s0021889873008216openalex-snapshot
A two-dimensional model of crystal-growth disorder
inferredcites →https://doi.org/10.1107/s0567739478000212openalex-snapshot
A phase transition in a 3D growth-disorder model
inferredcites →https://doi.org/10.2307/2344620openalex-snapshot
An Introduction to Probability Theory and its Applications.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Interaction Based Computing in Physics
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Interaction-Based Computing in Physics
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Interaction Based Computing in Physics
inferred← citeshttps://doi.org/10.1007/978-3-319-65558-1openalex-snapshot
Probabilistic Cellular Automata: Theory, Applications and Future Perspectives
inferred← citeshttps://doi.org/10.1007/978-3-319-65558-1_1openalex-snapshot
Overview: PCA Models and Issues
inferred← citeshttps://doi.org/10.1007/978-3-319-65558-1_9openalex-snapshot
Nonequilibrium Physics Aspects of Probabilistic Cellular Automata
inferred← citeshttps://doi.org/10.1007/978-3-642-27737-5_291-5openalex-snapshot
Interaction-Based Computing in Physics
inferred← citeshttps://doi.org/10.1007/978-3-642-27737-5_291-6openalex-snapshot
Interaction-Based Computing in Physics
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Phase Transitions in Convection Experiments
inferred← citeshttps://doi.org/10.1007/978-3-642-75259-9_4openalex-snapshot
Entropy and Correlations in Dynamical Lattice Systems
inferred← citeshttps://doi.org/10.1007/bf01217769openalex-snapshot
From PCA's to equilibrium systems and back
inferred← citeshttps://doi.org/10.1007/bf02179798openalex-snapshot
Ergodicity of quantum cellular automata
inferred← citeshttps://doi.org/10.1007/s10955-008-9563-6openalex-snapshot
Metastability for Reversible Probabilistic Cellular Automata with Self-Interaction
inferred← citeshttps://doi.org/10.1007/s10955-010-9973-0openalex-snapshot
Toom’s Model with Glauber Rates: An Exact Solution Using Elementary Methods
inferred← citeshttps://doi.org/10.1016/0167-2789(90)90193-sopenalex-snapshot
Critical dynamics of one-dimensional irreversible systems
inferred← citeshttps://doi.org/10.1016/0378-4371(94)90476-6openalex-snapshot
Enumeration of directed site animals on the decorated square lattices
inferred← citeshttps://doi.org/10.1016/j.chaos.2013.12.001openalex-snapshot
Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata
inferred← citeshttps://doi.org/10.1016/j.nuclphysb.2025.117204openalex-snapshot
Complex wave functions, CPT and quantum field theory for classical generalized Ising models
inferred← citeshttps://doi.org/10.1016/j.shpsb.2013.03.003openalex-snapshot
New mathematics for old physics: The case of lattice fluids
inferred← citeshttps://doi.org/10.1016/s0375-9601(96)00745-1openalex-snapshot
On the absence of homogeneous scalar unitary cellular automata
inferred← citeshttps://doi.org/10.1023/a:1004521326456openalex-snapshot
Exact Solution of a Cellular Automaton for Traffic
inferred← citeshttps://doi.org/10.1088/0305-4470/21/20/011openalex-snapshot
A disorder solution for a generalised mixed-spin model on anisotropic Kagome lattices
inferred← citeshttps://doi.org/10.1088/0305-4470/24/20/015openalex-snapshot
Dynamics of an anchored Toom interface
inferred← citeshttps://doi.org/10.1088/0305-4470/27/1/001openalex-snapshot
The Domany-Kinzel cellular automaton: relaxation time, susceptibility and constrained dynamics
inferred← citeshttps://doi.org/10.1088/0305-4470/28/23/011openalex-snapshot
Role of detailed balance on the phase diagram of frustrated systems; the modified ANNNI model
inferred← citeshttps://doi.org/10.1088/1742-5468/add513openalex-snapshot
Fluctuations of stochastic charged cellular automata
inferred← citeshttps://doi.org/10.1088/1751-8113/48/13/135003openalex-snapshot
Hidden percolation transition in kinetic replication process
inferred← citeshttps://doi.org/10.1088/1751-8113/48/50/503001openalex-snapshot
The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
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Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point Beta polymer
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A theory of neocortical seizure spread: Insights from statistical physics
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Quantum systems from random probabilistic automata
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Statistical mechanics of social impact
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Algorithmic mapping from criticality to self-organized criticality
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Statistical features of large fluctuations in stochastic systems
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Critical droplets in metastable states of probabilistic cellular automata
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Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
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Scaling theory and spreading dynamics in systems with one absorbing state derived from an equilibrium statistical model
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Phase diagram of a probabilistic cellular automaton with three-site interactions
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Phase transitions of extended-range probabilistic cellular automata with two absorbing states
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Phase transitions in coupled map lattices and in associated probabilistic cellular automata
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Approximate probabilistic cellular automata for the dynamics of single-species populations under discrete logisticlike growth with and without weak Allee effects
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Density classification performance and ergodicity of the Gacs-Kurdyumov-Levin cellular automaton model IV
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Evidence for a new phase in the Domany-Kinzel cellular automaton
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Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
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An Exactly Solvable Anisotropic Directed Percolation Model in Three Dimensions
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Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems
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Dynamic Supergames on Rectangle Lattice Based on Four Person Team Games
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Limiting Behavior of Dynamic Supergames on Rectangle Lattice
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The inactive–active phase transition in the noisy additive (exclusive-or) probabilistic cellular automaton
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Has the Spread-of-Damage Order Parameter a Conjugate Field?
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Point Mutations and Transitions Between Cellular Automata Attractor Basins
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Error-Prone Cellular Automata as Metaphors of Immunity as Computation
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Analytical methods and field theory for disordered systems
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