论文标题

从无限的布朗尼动议的无穷大往下来

On the coming down from infinity of coalescing Brownian motions

论文作者

Barnes, Clayton, Mytnik, Leonid, Sun, Zhenyao

论文摘要

考虑一个在实际线上的布朗颗粒系统,其中每对颗粒根据当地时间的交叉点以一定的速度聚结。假设系统中有许多初始粒子。我们给出了从无穷大的颗粒数量下降的必要条件。我们还确定了从Infinity的不同初始配置的速度。

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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