Many-to-few for non-local branching Markov process
| hal.structure.identifier | Department of Statistics [Auckland] | |
| dc.contributor.author | HARRIS, Simon | |
| hal.structure.identifier | Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL] | |
| dc.contributor.author | HORTON, Emma | |
| hal.structure.identifier | Department of Mathematical Sciences [Bath] | |
| dc.contributor.author | KYPRIANOU, Andreas | |
| hal.structure.identifier | Department of Mathematical Sciences [Durham University] | |
| hal.structure.identifier | Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL] | |
| dc.contributor.author | POWELL, Ellen | |
| dc.date.accessioned | 2024-04-04T02:39:14Z | |
| dc.date.available | 2024-04-04T02:39:14Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190954 | |
| dc.description.abstractEn | We provide a many-to-few formula in the general setting of non-local branching Markov processes. This formula allows one to compute expectations of k-fold sums over functions of the population at k different times. The result generalises [14] to the non-local setting, as introduced in [11] and [8]. As an application, we consider the case when the branching process is critical, and conditioned to survive for a large time. In this setting, we prove a general formula for the limiting law of the death time of the most recent common ancestor of two particles selected uniformly from the population at two different times, as t → ∞. Moreover, we describe the limiting law of the population sizes at two different times, in the same asymptotic regime. | |
| dc.language.iso | en | |
| dc.subject.en | non-local branching processes | |
| dc.subject.en | many-to-few | |
| dc.subject.en | spines | |
| dc.title.en | Many-to-few for non-local branching Markov process | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-03854678 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03854678v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=HARRIS,%20Simon&HORTON,%20Emma&KYPRIANOU,%20Andreas&POWELL,%20Ellen&rft.genre=preprint |
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