ON THE COMING DOWN FROM INFINITY OF COALESCING BROWNIAN MOTIONS

Clayton Barnes; Leonid Mytnik; Zhenyao Sun

doi:10.1214/23-AOP1640

ON THE COMING DOWN FROM INFINITY OF COALESCING BROWNIAN MOTIONS

Clayton Barnes
, Leonid Mytnik
, Zhenyao Sun

数学学院

Technion-Israel Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are infinitely many initial particles in the system. We give a necessary and sufficient condition for the number of particles to come down from infinity. We also identify the rate of this coming down from infinity for different initial configurations.

源语言	英语
页（从-至）	67-92
页数	26
期刊	Annals of Probability
卷	52
期	1
DOI	https://doi.org/10.1214/23-AOP1640
出版状态	已出版 - 2024

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abstract = "Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are infinitely many initial particles in the system. We give a necessary and sufficient condition for the number of particles to come down from infinity. We also identify the rate of this coming down from infinity for different initial configurations.",

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AB - Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are infinitely many initial particles in the system. We give a necessary and sufficient condition for the number of particles to come down from infinity. We also identify the rate of this coming down from infinity for different initial configurations.

KW - Coalescing Brownian motions

KW - Minkowski dimension

KW - SPDE

KW - Shiga’s duality

KW - coming down from infinity

KW - nonlinear PDE

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ON THE COMING DOWN FROM INFINITY OF COALESCING BROWNIAN MOTIONS

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