Abstract
In this paper, we study how synchronization and state estimation are related in the context of elementary cellular automata. We first characterize the geometric properties of the synchronization error between two replicas of a 1D elementary cellular automata following Wolfram’s rule 18. We propose a simple approach to statistically model the transient phase of the spreading of the synchronization error. We finally present a way to utilize our model of the error spreading to place mobile sensors in order to improve the overall replica synchronization in the case in which the initial error is small.
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Théo Plenet received a funding from the University of Perpignan Via Domitia for this work (PhD grant from Doctoral School 305)
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Plénet, T., Bagnoli, F., El Yacoubi, S. et al. Synchronization of elementary cellular automata. Nat Comput 23, 31–40 (2024). https://doi.org/10.1007/s11047-023-09962-1
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DOI: https://doi.org/10.1007/s11047-023-09962-1