Bifurcations of local structure maps as predictors of phase transitions in asynchronous cellular automata

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Abstract

We show that the local structure approximation of sufficiently high order can predict the existence of second order phase transitions belonging to the directed percolation university class in α-asynchronous cellular automata.

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Fukś, H., & Fatès, N. (2014). Bifurcations of local structure maps as predictors of phase transitions in asynchronous cellular automata. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8751, 556–560. https://doi.org/10.1007/978-3-319-11520-7_58

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