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arXiv · 2501.00329

Multitype $\Lambda$-coalescents and continuous state branching processes

Adrián González Casanova·Noemi Kurt·Imanol Nuñez Morales·José Luis Pérez
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Abstract

We provide new connections between multitype $\Lambda$-coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The approach is based on a sequential sampling procedure for the frequency process of independent CSBPs, and provides forward and backward processes for multitype population models under $\Lambda$-type reproduction. It provides some insight on different approaches to generalise $\Lambda$-coalescents to the multitype setup.

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Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales, José Luis Pérez. 2024-12-31. Multitype $\Lambda$-coalescents and continuous state branching processes. https://arxiv.org/abs/2501.00329

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