Asymptotic density in a threshold coalescing and annihilating random walk
نویسندگان
چکیده
منابع مشابه
Asymptotic Density in a Coalescing Random Walk Model
We consider a system of particles, each of which performs a continuous time random walk on Z. The particles interact only at times when a particle jumps to a site at which there are a number of other particles present. If there are j particles present, then the particle which just jumped is removed from the system with probability pj . We show that if pj is increasing in j and if the dimension ...
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A Coalescing random walk is an interacting particle system which can be described as the following. Suppose that there is one particle located at each integer position [0, n] at time point 0 and that a particle is chosen at random at any time point t among the remaining in [1, n] and moves one step in some direction, where the direction can be deterministic or stochastic. The particle coalesce ...
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Branching annihilating random walk (BARW) is a generic term for a class of interacting particle systems on Z in which, as time evolves, particles execute random walks, produce offspring (on neighbouring sites) and (instantaneously) disappear when they meet other particles. Much of the interest in such models stems from the fact that they typically lack a monotonicity property called attractiven...
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In the present paper we continue the investigation of the so-called Coalescing Ideal Gas in one dimension, initiated by the rst author in 7]. The model consists of point-like particles moving with velocities 1 which coalesce and chose a fresh velocity with the same distribution, when colliding. In the previous paper 7] various identities in law were derived for the innnitely extended system. In...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2001
ISSN: 0091-1798
DOI: 10.1214/aop/1008956326