A Central Limit Theorem for Modified Massive Arratia Flow
Probability
2024-08-12 v1
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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Cite
@article{arxiv.2408.05030,
title = {A Central Limit Theorem for Modified Massive Arratia Flow},
author = {Andrey Dorogovtsev and Vitalii Konarovskyi and Max von Renesse},
journal= {arXiv preprint arXiv:2408.05030},
year = {2024}
}
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17 pages