Geodesic
Limit theorems for the number of clusters of the Arratia flow
Teoriâ slučajnyh processov, Tome 23 (2018) no. 2, pp. 33-40.

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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 $n\to\infty$, obtain an estimate of the Berry–Esseen type for the rate of this convergence, and prove the corresponding functional law of the iterated logarithm.
Keywords: Central limit theorem, Berry–Esseen inequality, functional law of the iterated logarithm, coalescing Brownian motions, Arratia flow, clusters. 
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E. V. Glinyanaya; V. V. Fomichov. Limit theorems for the number of clusters of the Arratia flow. Teoriâ slučajnyh processov, Tome 23 (2018) no. 2, pp. 33-40. http://geodesic.mathdoc.fr/item/THSP_2018_23_2_a3/

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