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Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

Donald A. Dawson·Zenghu Li·Xiaowen Zhou
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Abstract

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 {\it et al.} (2001) and Wang (1997, 1998).

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Donald A. Dawson, Zenghu Li, Xiaowen Zhou. 2006-06-24. Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits. https://arxiv.org/abs/math/0606621

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