The central limit theorem for the number of clusters of the Arratia flow

2017/12/14 by Glinyanaya, E. V., Fomichov, V. V.
#60F05 #60G55 #60G60 #60K35 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1712.05098

Abstract

In this paper we prove the central limit theorem for the number of clusters formed by the particles of the Arratia flow starting from the interval [0;n] as n→∞ and obtain an estimate of the Berry-Esseen type for the rate of this convergence.

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