# Asymptotic distribution of entry times in a cellular automaton with annihilating particles

2 Laboratoire d'Informatique, Signaux, et Systèmes de Sophia-Antipolis (I3S) / Equipe MC3
Laboratoire I3S - MDSC - Modèles Discrets pour les Systèmes Complexes
Abstract : This work considers a cellular automaton (CA) with two particles: a stationary particle $1$ and left-going one $\overline{1}$. When a $\overline{1}$ encounters a $1$, both particles annihilate. We derive asymptotic distribution of appearence of particles at a given site when the CA is initialized with the Bernoulli measure with the probabilities of both particles equal to $1/2$.
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Conference papers
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Cited literature [5 references]

https://hal.inria.fr/hal-01196143
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dmAP0104.pdf
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• HAL Id : hal-01196143, version 1

### Citation

Petr Kůrka, Enrico Formenti, Alberto Dennunzio. Asymptotic distribution of entry times in a cellular automaton with annihilating particles. 17th International Workshop on Celular Automata and Discrete Complex Systems, 2011, Santiago, Chile. pp.47-58. ⟨hal-01196143⟩

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