Probabilistic cellular automata. Theory, applications and future perspectives.

*(English)*Zbl 1401.68010
Emergence, Complexity and Computation 27. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). xviii, 344 p. (2018).

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The articles of mathematical interest will be reviewed individually.

Indexed articles:

Fernández, Roberto; Louis, Pierre-Yves; Nardi, Francesca R., Overview: PCA models and issues, 1-30 [Zbl 1402.68127]

Merks, Roeland M. H., Probabilistic cellular automata in the visual arts, 31-34 [Zbl 1402.00034]

Cirillo, Emilio N. M.; Nardi, Francesca R.; Spitoni, Cristian, Basic ideas to approach metastability in probabilistic cellular automata, 37-51 [Zbl 1402.37016]

Dai Pra, Paolo; Sartori, Elena; Tolotti, Marco, Strategic interaction in interacting particle systems, 53-67 [Zbl 1418.91404]

van Enter, Aernout C. D., Scaling and inverse scaling in anisotropic bootstrap percolation, 69-77 [Zbl 1402.37023]

Járai, Antal A., The sandpile cellular automaton, 79-88 [Zbl 1402.37018]

Lancia, Carlo; Scoppola, Benedetto, Ising model on the torus and PCA dynamics: reversibility, irreversibility, and fast tunneling, 89-104 [Zbl 1402.37019]

Louis, Pierre-Yves; Minelli, Ida G., Synchronization in interacting reinforced stochastic processes, 105-118 [Zbl 1402.37064]

Maes, Christian, Nonequilibrium physics aspects of probabilistic cellular automata, 119-128 [Zbl 1402.37020]

Fukś, Henryk, An example of computation of the density of ones in probabilistic cellular automata by direct recursion, 131-144 [Zbl 1402.68128]

Taati, Siamak, Statistical equilibrium in deterministic cellular automata, 145-164 [Zbl 1402.37021]

Gerin, Lucas, Epidemic automaton and the Eden model: various aspects of robustness, 165-178 [Zbl 1402.68129]

Taggi, Lorenzo, Convergence time of probabilistic cellular automata on the torus, 179-196 [Zbl 1402.37022]

Słowiński, Piotr, Percolation operators and related models, 197-214 [Zbl 1402.37065]

Bagnoli, Franco; Rechtman, Raúl, Phase transitions of cellular automata, 215-236 [Zbl 1402.37015]

Fatès, Nazim; Chevrier, Vincent; Bouré, Olivier, A trade-off between simplicity and robustness? Illustration on a lattice-gas model of swarming, 239-259 [Zbl 1402.37017]

##### MSC:

68-06 | Proceedings, conferences, collections, etc. pertaining to computer science |

37-06 | Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory |

37B15 | Dynamical aspects of cellular automata |

68Q80 | Cellular automata (computational aspects) |

00B15 | Collections of articles of miscellaneous specific interest |