Phase transitions in stochastic non-linear threshold Boolean automata networks on \(\mathbb{Z}^2\): the boundary impact

DOI10.1016/j.aam.2018.03.003zbMath1391.37008OpenAlexW2789719375MaRDI QIDQ1647941

Jacques Demongeot, Sylvain Sené

Publication date: 27 June 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2018.03.003

zbMATH Keywords

phase transitionstochastic processBoolean automata networkboundary sensitivity

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Cellular automata (computational aspects) (68Q80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical aspects of cellular automata (37B15) Dynamical aspects of statistical mechanics (37A60) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)

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