Backbone Decomposition of Multitype Superprocesses

Dorottya Fekete (), Sandra Palau (), Juan Carlos Pardo () and Jose Luis Pérez ()
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Dorottya Fekete: University of Exeter
Sandra Palau: IIMAS, Universidad Nacional Autónoma de México. CDMX
Juan Carlos Pardo: Centro de Investigación en Matemáticas A.C. Calle Jalisco s/n.
Jose Luis Pérez: Centro de Investigación en Matemáticas A.C. Calle Jalisco s/n.

Journal of Theoretical Probability, 2021, vol. 34, issue 3, 1149-1178

Abstract: Abstract 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.

Keywords: Multitype superprocesses; Multitype continuous-state branching processes; Non-local branching mechanism; Backbone; Conditioning on extinction; Prolific individuals; 60J80; 60J68; 60E10 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10959-021-01076-7

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