Asymptotic distribution of entry times in a cellular automaton with annihilating particles
Petr Kůrka, Enrico Formenti, Alberto Dennunzio · Discrete Mathematics & Theoretical Computer Science · 2011
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 $1/2$.