Sharp large deviations and concentration inequalities for the number of descents in a random permutation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BERCU, Bernard | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RICHOU, Adrien | |
| dc.date.accessioned | 2024-04-04T02:33:10Z | |
| dc.date.available | 2024-04-04T02:33:10Z | |
| dc.date.issued | 2024-01-05 | |
| dc.identifier.issn | 0021-9002 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190452 | |
| dc.description.abstractEn | The goal of this paper is to go further in the analysis of the behavior of the number of descents in a random permutation. Via two different approaches relying on a suitable martingale decomposition or on the Irwin-Hall distribution, we prove that the number of descents satisfies a sharp large deviation principle. A very precise concentration inequality involving the rate function in the large deviation principle is also provided. | |
| dc.language.iso | en | |
| dc.publisher | Cambridge University press | |
| dc.subject.en | Large deviations | |
| dc.subject.en | concentration inequalities | |
| dc.subject.en | random permutations | |
| dc.title.en | Sharp large deviations and concentration inequalities for the number of descents in a random permutation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1017/jpr.2023.86 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 2210.10382 | |
| bordeaux.journal | Journal of Applied Probability | |
| bordeaux.page | 1-24 | |
| 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-03819631 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03819631v1 | |
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