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Backbone Decomposition of Multitype Superprocesses

Author

Listed:
  • 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.)

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.

Suggested Citation

  • Dorottya Fekete & Sandra Palau & Juan Carlos Pardo & Jose Luis Pérez, 2021. "Backbone Decomposition of Multitype Superprocesses," Journal of Theoretical Probability, Springer, vol. 34(3), pages 1149-1178, September.
    • Handle: RePEc:spr:jotpro:v:34:y:2021:i:3:d:10.1007_s10959-021-01076-7
    DOI: 10.1007/s10959-021-01076-7
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    References listed on IDEAS

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    1. Kyprianou, Andreas E. & Palau, Sandra, 2018. "Extinction properties of multi-type continuous-state branching processes," Stochastic Processes and their Applications, Elsevier, vol. 128(10), pages 3466-3489.
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