Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits
Donald A. Dawson, Zenghu Li, Xiaowen Zhou
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 et al. (2001) and Wang (1997, 1998).
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