Titlebook: Probabilistic Cellular Automata; Theory, Applications Pierre-Yves Louis,Francesca R. Nardi Book 2018 Springer International Publishing AG 2

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Phase Transitions of Cellular Automata phase transitions of first and second order, damage spreading, dilution of deterministic rules, asynchronism-induced transitions, synchronization phenomena, chaotic phase transitions and the influence of the topology.

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Book 2018d computer science. PCA are extensions of the well-known Cellular Automata models of complex systems, characterized by random updating rules. Thanks to their probabilistic component, PCA offer flexible computing tools for complex numerical constructions, and realistic simulation tools for phenomena

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A Trade-Off Between Simplicity and Robustness? Illustration on a Lattice-Gas Model of Swarmingnalyse this surprising diversity of patterns with numerical simulations. We ask where this richness comes from. Is it an intrinsic characteristic of the model or a mere effect of the modelling simplifications?

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Ising Model on the Torus and PCA Dynamics: Reversibility, Irreversibility, and Fast Tunneling our procedure may drastically improve the known results about the convergence of the system to the stationary distribution. An important ingredient in this context is the use of an irreversible dynamics, which let new interesting states (the so-called Ising waves) arise.

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