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math.PR2006★ 2 cited
Some properties for superprocess under a stochastic flow
Kijung Lee, Carl Mueller, Jei Xiong
For a superprocess under a stochastic flow, we prove that it has a density with respect to the Lebesgue measure for d=1 and is singular for d>1. For d=1, a stochastic partial diffe…
math.PR2006
Conditional Log-Laplace Functionals of Immigration Superprocesses with Dependent Spatial Motion
Zenghu Li, Hao Wang, Jie Xiong
A non-critical branching immigration superprocess with dependent spatial motion is constructed and characterized as the solution of a stochastic equation driven by a time-space whi…