Asymptotic density in a coalescing random walk model
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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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2000
ISSN: 0091-1798
DOI: 10.1214/aop/1019160121