Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

被引：0
|
作者：
D. A. Dawson
Z. Li
X. Zhou
机构：
[1] Carleton University,School of Mathematics and Statistics
[2] Beijing Normal University,Department of Mathematics
[3] Concordia University,Department of Mathematics and Statistics
来源：
Journal of Theoretical Probability | 2004年 / 17卷
关键词：
Superprocess; coalescing spatial motion; excursions; scaling limit; Poisson random measure;
D O I：
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中图分类号：
学科分类号：
摘要：
A Superprocess with coalescing spatial motion is constructed in terms of one-dimensional excursions. Based on this construction, it is proved that the superprocess is purely atomic and arises as scaling limit of a special form of the superprocess with dependent spatial motion studied in Dawson et al. (Refs. 5, 19–20).
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页码：673 / 692
页数：19
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