COX, Alexander; HORTON, E; VILLEMONAIS, D

Métadonnées

Afficher la notice complète

Licence d’utilisation du document

COX, Alexander
University of Bath [Bath]

HORTON, E
Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL]

VILLEMONAIS, D
Biology, genetics and statistics [BIGS]
Institut Élie Cartan de Lorraine [IECL]

Langue

Article de revue

Ce document a été publié dans

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 2024

Institut Henri Poincaré (IHP)

Date de soutenance

2024

Résumé en anglais

The aim of this paper is to study the large population limit of a binary branching particle system with Moran type interactions: we introduce a new model where particles evolve, reproduce and die independently and, with a probability that may depend on the configuration of the whole system, the death of a particle may trigger the reproduction of another particle, while a branching event may trigger the death of an other one. We study the occupation measure of the new model, explicitly relating it to the Feynman-Kac semigroup of the underlying Markov evolution and quantifying the L 2 distance between their normalisations. This model extends the fixed size Moran type interacting particle system discussed in [18, 19, 6, 7, 57] and we will indeed show that our model outperforms the latter when used to approximate a birth and death process. We discuss several other applications of our model including the neutron transport equation [36, 15] and population size dynamics.< Réduire

Mots clés en anglais

interacting particle systems

branching processes

many-to-one

Markov processes

birth-and-death process

Moran model

Métadonnées

Partager cette publication !

Licence d’utilisation du document

Binary branching processes with Moran type interactions

Langue

Ce document a été publié dans

Date de soutenance

Résumé en anglais

Mots clés en anglais

URI

Origine

Unités de recherche