Asymptotic distribution of entry times in a cellular automaton with annihilating particles
Petr Kûrka, Enrico Formenti, Alberto Dennunzio
Abstract
This work considers a cellular automaton (CA) with two particles: a stationary particle 1 and left-going one 1. When a 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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