More on the structure of extreme level sets in branching Brownian motion
More on the structure of extreme level sets in branching Brownian motion
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有关分支布朗运动中极限水平集结构的更多信息
DOI：
10.1214/20-ecp369
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发表时间：
2019
影响因子：
0.5
通讯作者：
O. Louidor
中科院分区：
文献类型：
--
作者：
A. Cortines;Lisa Hartung;O. Louidor
这项工作是手稿“分支布朗运动的极端水平集的结构”的延续，其中同一作者研究了分支布朗运动的极端水平集的精细结构，即高度在距全局最大值有限距离内的粒子集。众所周知，此类粒子大量聚集在局部最大值周围的一阶谱系直径簇中，在极限下形成 Cox 过程。我们在这里的主要发现是，极端水平集中的大多数粒子仅来自簇的一小部分，这些簇非常大。
This work is a continuation of the manuscript "the structure of extreme level sets in branching Brownian motion", in which the same authors studied the fine structure of the extreme level sets of branching Brownian motion, namely the sets of particles whose height is within a finite distance from the global maximum. It is well known that such particles congregate at large times in clusters of order-one genealogical diameter around local maxima which form a Cox process in the limit. Our main finding here is that most of the particles in an extreme level set come from only a small fraction of the clusters, which are atypically large.
影响因子：
2
作者：
L. Arguin;Anton Bovier;N. Kistler
通讯作者：
L. Arguin;Anton Bovier;N. Kistler