Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents
Probability
2025-11-10 v1
Abstract
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.
Cite
@article{arxiv.2511.05435,
title = {Partially exchangeable Markov chains and characterisation of multitype Lambda-coalescents},
author = {Adrián González Casanova and Noemi Kurt and Imanol Nuñez Morales and José Luis Pérez},
journal= {arXiv preprint arXiv:2511.05435},
year = {2025}
}
Comments
48 pages, 1 figure