Regularity Properties of a Supercritical Superprocess
The objective of this chapter is to derive the regularity properties of a superprocess from those of the spatial process. We assume that the spatial process ζ is a right (nonhomogeneous) Markov process in a Luzin state space and we prove that a superprocess over ζ can be chosen right if the first moments of the total mass X t (E) are finite.
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