In this paper, we provide a construction of the so-called backbone decomposition for multitype supercritical superprocesses. While backbone decompositions are fairly well known for both continuous-state branching processes and superprocesses in the one-type case, so far no such decompositions or even description of prolific genealogies have been given for the multitype cases. Here we focus on superprocesses, but by turning the movement off, we get the prolific backbone decomposition for multitype continuous-state branching processes as an easy consequence of our results.

中文翻译：

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多类型超进程的主干分解

在本文中，我们为多类型超临界超过程提供了所谓的主干分解的构造。虽然主干分解对于单一类型情况下的连续状态分支过程和超过程都相当知名，但到目前为止，还没有针对多类型情况给出这样的分解或什至对多产谱系的描述。在这里，我们专注于超级过程，但通过关闭运动，我们得到了多类型连续状态分支过程的多产骨干分解，这是我们结果的一个简单结果。