Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes
| hal.structure.identifier | Méthodes avancées d’apprentissage statistique et de contrôle [ASTRAL] | |
| dc.contributor.author | HORTON, Emma | |
| hal.structure.identifier | Department of Statistical Science | |
| dc.contributor.author | WATSON, Alexander | |
| dc.date | 2022 | |
| dc.date.accessioned | 2024-04-04T02:46:08Z | |
| dc.date.available | 2024-04-04T02:46:08Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 1980-0436 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191522 | |
| dc.description.abstractEn | Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon compensating for this, the distribution of cell sizes converges to an asymptotic profile. However, the long-term <i>stochastic</i> behaviour of the system is more delicate, and its almost sure asymptotics have been so far largely unexplored. In this article, we study a growth-fragmentation process whose cell sizes are bounded above, and prove the existence of regimes with differing almost sure long-term behaviour. | |
| dc.language.iso | en | |
| dc.publisher | Instituto Nacional de Matemática Pura e Aplicada (Rio de Janeiro, Brasil) [2006-....] | |
| dc.subject.en | Growth-fragmentation | |
| dc.subject.en | Law of large numbers | |
| dc.subject.en | Asynchronous exponential growth | |
| dc.subject.en | Cell division | |
| dc.subject.en | Ergodic theorem | |
| dc.subject.en | Spectral radius | |
| dc.subject.en | Spectral gap | |
| dc.subject.en | Intrinsic martingale | |
| dc.subject.en | Spectrally negative Lévy process | |
| dc.subject.en | Dividend process | |
| dc.subject.en | Skeleton decomposition | |
| dc.title.en | Strong laws of large numbers for a growth-fragmentation process with bounded cell sizes | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | ALEA : Latin American Journal of Probability and Mathematical Statistics | |
| 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-03276236 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03276236v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ALEA%20:%20Latin%20American%20Journal%20of%20Probability%20and%20Mathematical%20Statistics&rft.date=2022&rft.eissn=1980-0436&rft.issn=1980-0436&rft.au=HORTON,%20Emma&WATSON,%20Alexander&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||