Binary branching processes with Moran type interactions
| hal.structure.identifier | University of Bath [Bath] | |
| dc.contributor.author | COX, Alexander | |
| hal.structure.identifier | Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL] | |
| dc.contributor.author | HORTON, E | |
| hal.structure.identifier | Biology, genetics and statistics [BIGS] | |
| hal.structure.identifier | Institut Élie Cartan de Lorraine [IECL] | |
| dc.contributor.author | VILLEMONAIS, D | |
| dc.date | 2024 | |
| dc.date.accessioned | 2024-04-04T02:41:00Z | |
| dc.date.available | 2024-04-04T02:41:00Z | |
| dc.date.issued | 2024 | |
| dc.identifier.issn | 0246-0203 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191111 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Institut Henri Poincaré (IHP) | |
| dc.subject.en | interacting particle systems | |
| dc.subject.en | branching processes | |
| dc.subject.en | many-to-one | |
| dc.subject.en | Markov processes | |
| dc.subject.en | birth-and-death process | |
| dc.subject.en | Moran model | |
| dc.title.en | Binary branching processes with Moran type interactions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03715678 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03715678v1 | |
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