Abstract
We provide a path-wise “backbone” decomposition for supercritical superprocesses with non-local branching. Our result complements a related result obtained for supercritical superprocesses without non-local branching in Berestycki et al. (Stoch Proc Appl 121:1315–1331, 2011). Our approach relies heavily on the use of so-called Dynkin-Kuznetsov \(\mathbb{N}\)-measures.
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The authors want to thank the comments of the anonymous referee which improved the presentation of the paper.
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Murillo-Salas, A., Luis Pérez, J. (2015). The Backbone Decomposition for Superprocesses with Non-local Branching. In: Mena, R., Pardo, J., Rivero, V., Uribe Bravo, G. (eds) XI Symposium on Probability and Stochastic Processes. Progress in Probability, vol 69. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-13984-5_10
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