Dualities for multi-state probabilistic cellular automata

DOI10.1088/1742-5468/2008/05/P05006zbMath1243.82044arXivmath/0607206MaRDI QIDQ2900173

Marcelo Sobottka, F. Javier López, Gerardo Sanz

Publication date: 30 July 2012

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607206

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Queueing theory (aspects of probability theory) (60K25) Ergodicity, mixing, rates of mixing (37A25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15)

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Cites Work

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• Duality for general attractive spin systems with applications in one dimension
• Coexistence in threshold voter models
• Dualities for a class of finite range probabilistic cellular automata in one dimension.
• Self-duality for multi-state probabilistic cellular automata with finite range interactions.
• Dualities for the Domany-Kinzel model
• Quantum operators in classical probability theory. II: The concept of duality in interacting particle systems
• Statistical mechanics of probabilistic cellular automata.
• Stochastic comparisons for general probabilistic cellular automata
• A two-species competition model on \(\mathbb Z^d\)
• Transfer-matrix density-matrix renormalization group for stochastic models: the Domany-Kinzel cellular automaton
• Equivalence of Cellular Automata to Ising Models and Directed Percolation
• Reformulation of Gray's duality for attractive spin systems and its applications