The oriented swap process
نویسندگان
چکیده
منابع مشابه
The oriented swap process
Particles labelled 1 · · · n are arranged initially in increasing order. Subsequently, each pair of neighbouring particles that is currently in increasing order swaps according to a Poisson process of rate 1. We analyze the asymptotic behaviour of this process as n → ∞. We prove that the space-time trajectories of individual particles converge (when suitably scaled) to a certain family of rando...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2009
ISSN: 0091-1798
DOI: 10.1214/09-aop456