The backbone decomposition for superprocesses with non-local branching

Abstract

We provide a path-wise "backbone" decomposition for supercritical superprocesses with non-local branching. Our result complements a related result obtained for super-critical superprocesses without non-local branching in [1]. Our approach relies heavily on the use of so-called Dynkin-Kuznetsov N-measures.

arXiv admin note: text overlap with arXiv:0912.4736