Abstract:In this paper, we consider a simple cellular automaton with two particles of different speeds that annihilate on contact. Following a previous work by K urka et al., we study the asymptotic distribution, starting from a random configuration, of the waiting time before a particle crosses the central column after time n. Drawing a parallel between the behaviour of this automata on a random initial configuration and a certain random walk, we approximate this walk using a Brownian motion, and we obtain explicit re… Show more
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