@article{94651eca7f7846128f76b7acdecc144c,
title = "ON THE COMING DOWN FROM INFINITY OF COALESCING BROWNIAN MOTIONS",
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.",
keywords = "Coalescing Brownian motions, Minkowski dimension, SPDE, Shiga's duality, coming down from infinity, nonlinear PDE",
author = "Clayton Barnes and Leonid Mytnik and Zhenyao Sun",
note = "Publisher Copyright: {\textcopyright} Institute of Mathematical Statistics, 2024.",
year = "2024",
month = jan,
doi = "10.1214/23-AOP1640",
language = "English",
volume = "52",
pages = "67--92",
journal = "Annals of Statistics",
issn = "0090-5364",
publisher = "Institute of Mathematical Statistics",
number = "1",
}