抄録
A class of immigration superprocesses with dependent spatial motion for deterministic
immigration rate is considered, and we discuss a convergence problem for the rescaled
processes. When the immigration rate converges to a non-vanishing deterministic one, then
we can prove that under a suitable scaling, the rescaled immigration superprocesses associated
with SDSM converge to a class of immigration superprocesses associated with coalescing spatial
motion in the sense of probability distribution on the space of measure-valued continuous
paths. This scaled limit not only provides with a new class of superprocesses but also gives a
new type of limit theorem.
