Superprocesses with Coalescing Brownian Spatial Motion as Large-Scale Limits
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🧮 math.PR
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motionspatialsuperprocesscoalescingarisesatomicbrownianconstructed
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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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