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A note on the fast convergence of asynchronous Elementary Cellular Automata
Abstract : We tackle the problem of the classification of elementary cellular automata when the cells are updated in with a fully asynchronous scheme (one cell is selected at random at each time step). We establish a proof of convergence in logarithmic time as a function of the size of the automaton. Techniques involve a direct Markov chain analysis or the construction of potential function whose convergence rate is bounded by a particular martingale.
Cited literature [8 references]
https://hal.inria.fr/hal-00981691
Contributor : Nazim Fatès Connect in order to contact the contributor
Submitted on : Tuesday, April 22, 2014 - 4:17:59 PM
Last modification on : Saturday, June 25, 2022 - 7:41:50 PM
Long-term archiving on: : Monday, April 10, 2017 - 4:37:56 PM
Contributor : Nazim Fatès Connect in order to contact the contributor
Submitted on : Tuesday, April 22, 2014 - 4:17:59 PM
Last modification on : Saturday, June 25, 2022 - 7:41:50 PM
Long-term archiving on: : Monday, April 10, 2017 - 4:37:56 PM
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Distributed under a Creative Commons Attribution 4.0 International License