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Probabilistic Cellular AutomataSynchronization in Interacting Reinforced Stochastic Processes

Probabilistic Cellular Automata: Synchronization in Interacting Reinforced Stochastic Processes [We present a family of interacting stochastic processes introduced in [13] whose individual dynamics follow a reinforcement updating rule. This is a natural generalization of PCA dynamics on a continuous spin space. The interaction changes the long-time behavior of each process and the speed of evolution, producing a phenomenon of synchronization.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Probabilistic Cellular AutomataSynchronization in Interacting Reinforced Stochastic Processes

Part of the Emergence, Complexity and Computation Book Series (volume 27)
Editors: Louis, Pierre-Yves; Nardi, Francesca R.
Louis, Pierre-Yves; Minelli, Ida G.
Probabilistic Cellular Automata — Feb 22, 2018
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Publisher
Springer International Publishing
Copyright
© Springer International Publishing AG 2018
ISBN
978-3-319-65556-7
Pages
105 –118
DOI
10.1007/978-3-319-65558-1_8
Publisher site
See Chapter on Publisher Site

Abstract

[We present a family of interacting stochastic processes introduced in [13] whose individual dynamics follow a reinforcement updating rule. This is a natural generalization of PCA dynamics on a continuous spin space. The interaction changes the long-time behavior of each process and the speed of evolution, producing a phenomenon of synchronization.]

Published: Feb 22, 2018

Keywords: Generalized PCA with continuous spin space; Synchronization; Reinforced stochastic processes; Pólya urns; Mean field interaction

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