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math.PR2016
Williams decomposition for superprocesses
Yan-Xia Ren, Renming Song, Rui Zhang
We decompose the genealogy of a general superprocess with spatially dependent branching mechanism with respect to the last individual alive (Williams decomposition). This is a gene…
math.PR2016★ 2 cited
Spine decomposition and criterion for superprocesses with non-local branching mechanisms
Yan-Xia Ren, Renming Song, Ting Yang
In this paper, we provide a pathwise spine decomposition for superprocesses with both local and non-local branching mechanisms under a martingale change of measure. This result com…