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arxiv: math/0606618 · v1 · pith:MVLNXY2Lnew · submitted 2006-06-24 · 🧮 math.PR

Construction of Immigration Superprocesses with Dependent Spatial Motion from One-Dimensional Excursions

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keywords dependentexcursionsimmigrationmotionone-dimensionalspatialstochasticcarried
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A superprocess with dependent spatial motion and interactive immigration is constructed as the pathwise unique solution of a stochastic integral equation carried by a stochastic flow and driven by Poisson processes of one-dimensional excursions.

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