Critical probabilities and convergence time of percolation probabilistic cellular automata

DOI10.1007/s10955-015-1199-8zbMath1320.82055arXiv1312.6990OpenAlexW1998803963MaRDI QIDQ2350378

Lorenzo Taggi

Publication date: 29 June 2015

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6990

zbMATH Keywords

convergence timeprobabilistic cellular automataabsorbing-state phase transitionpercolation systemsStavskaya's process

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27) Time-dependent percolation in statistical mechanics (82C43)

Related Items (10)

Locality of the interaction affects dynamics in probabilistic cellular automata ⋮ Overview: PCA Models and Issues ⋮ Convergence Time of Probabilistic Cellular Automata on the Torus ⋮ Percolation Operators and Related Models ⋮ A Trade-Off Between Simplicity and Robustness? Illustration on a Lattice-Gas Model of Swarming ⋮ Convergence time and phase transition in a non-monotonic family of probabilistic cellular automata ⋮ AN IMPROVED LOWER BOUND FOR THE CRITICAL PARAMETER OF STAVSKAYA’S PROCESS ⋮ Local structure approximation as a predictor of second-order phase transitions in asynchronous cellular automata ⋮ Supercritical probabilistic cellular automata: how effective is the synchronous updating? ⋮ Phase transitions in random mixtures of elementary cellular automata

Cites Work

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