Multitype $\Lambda$-coalescents and continuous state branching processes
Probability
2025-01-03 v1
Abstract
We provide new connections between multitype -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 -type reproduction. It provides some insight on different approaches to generalise -coalescents to the multitype setup.
Keywords
Cite
@article{arxiv.2501.00329,
title = {Multitype $\Lambda$-coalescents and continuous state branching processes},
author = {Adrián González Casanova and Noemi Kurt and Imanol Nuñez Morales and José Luis Pérez},
journal= {arXiv preprint arXiv:2501.00329},
year = {2025}
}