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

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 $n\to \infty$ and obtain an estimate of the Berry-Esseen type for the rate of this convergence.

To appear in Theory of Stochastic Processes 22(38):2 (2017)