arXiv subjects

Imanol Nuñez Morales

Publications and source records attributed to Imanol Nuñez Morales.

2 recordsLinked to original sources

arXiv2025

Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents

In this paper, we study consistent and partially exchangeable sequences of Markov chains on a finite state space. We provide a characterisation of the admissible transition rates via a decomposition into individual and coordinated motion of particles. As a consequence, we find a characterisation of multitype Lambda-coalescents with multiple switches. Moreover, we provide convergence and duality results for the corresponding process of limiting relative frequencies that we call the de Finetti measure process, and discuss a number of examples from the recent literature.

math.PR↗

arXiv2024

Multitype $Λ$-coalescents and continuous state branching processes

We provide new connections between multitype $Λ$-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 $Λ$-type reproduction. It provides some insight on different approaches to generalise $Λ$-coalescents to the multitype setup.

math.PR↗