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

Publikace |
2012

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

This work considers a cellular automaton (CA) with two particles: a stationary particle 1 and left-going one (1) over bar. When a (1) over bar 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.