Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

Details Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits

2006-06-24

arxiv.org/abs/math/0606621v1

Journal of Theoretical Probability 17 (2004), 3: 673-692

Mathematics

Probability

Scientific paper

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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