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arXiv · 2408.05030

A Central Limit Theorem for Modified Massive Arratia Flow

Andrey Dorogovtsev·Vitalii Konarovskyi·Max von Renesse
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Abstract

The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a central limit theorem for the point process associated to the cluster positions when the system is started from a uniform configuration. The critical mixing estimate is obtained by coupling the system to countably many independent Brownian motions.

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Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse. 2024-08-09. A Central Limit Theorem for Modified Massive Arratia Flow. https://arxiv.org/abs/2408.05030

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