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Multitype branching processes with immigration generated by point processes

Martin Minchev & Maroussia Slavtchova-Bojkova

Journal of Applied Probability2026https://doi.org/10.1017/jpr.2025.10059article
AJG 2ABDC A
Weight
0.50

Abstract

Following the pivotal work of Sevastyanov (1957), who considered branching processes with homogeneous Poisson immigration, much has been done to understand the behaviour of such processes under different types of branching and immigration mechanisms. Recently, the case where the times of immigration are generated by a non-homogeneous Poisson process has been considered in depth. In this work, we demonstrate how we can use the framework of point processes in order to go beyond the Poisson process. As an illustration, we show how to transfer techniques from the case of Poisson immigration to the case where it is spanned by a determinantal point process.

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https://doi.org/https://doi.org/10.1017/jpr.2025.10059

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@article{martin2026,
  title        = {{Multitype branching processes with immigration generated by point processes}},
  author       = {Martin Minchev & Maroussia Slavtchova-Bojkova},
  journal      = {Journal of Applied Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1017/jpr.2025.10059},
}

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Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

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