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

E. V. Glinyanaya; V. V. Fomichov

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arXiv · 1712.05098

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

E. V. Glinyanaya·V. V. Fomichov

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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.

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E. V. Glinyanaya, V. V. Fomichov. 2017-12-14. The central limit theorem for the number of clusters of the Arratia flow. https://arxiv.org/abs/1712.05098

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