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

Donald A. Dawson, Zenghu Li

math.PRarXiv:math/0606618

Abstract

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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