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

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

2006-06-24

arxiv.org/abs/math/0606618v1

Probability Theory and Related Fields 127 (2003), 37-61

Mathematics

Probability

Scientific paper

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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