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A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| dc.contributor.author | JOULIN, Aldéric | |
| dc.date.accessioned | 2024-04-04T02:29:44Z | |
| dc.date.available | 2024-04-04T02:29:44Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190204 | |
| dc.description.abstractEn | In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of the domain, position of the origin, etc.) on the spectral gap of log-concave probability measures on convex bodies. Our results are illustrated by some classical and less classical examples. | |
| dc.description.sponsorship | Analyse Réelle et Géométrie - ANR-18-CE40-0012 | |
| dc.description.sponsorship | Analyse Quantitative de Processus Metastables - ANR-19-CE40-0010 | |
| dc.description.sponsorship | Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040 | |
| dc.description.sponsorship | Méthode de Stein et Analyse - ANR-18-CE40-0006 | |
| dc.description.sponsorship | Convegence et interactions via Analyse et Probabilités - ANR-23-CE40-0003 | |
| dc.language.iso | en | |
| dc.subject.en | 2010 Mathematics Subject Classification. 60J60 | |
| dc.subject.en | 39B62 | |
| dc.subject.en | 47D07 | |
| dc.subject.en | 37A30 | |
| dc.subject.en | 58J50 Spectral gap Neumann eigenvalues Poincaré type inequalities Log-concave probability measure | |
| dc.subject.en | Convex body | |
| dc.subject.en | 58J50 Spectral gap | |
| dc.subject.en | Neumann eigenvalues | |
| dc.subject.en | Poincaré type inequalities | |
| dc.subject.en | Log-concave probability measure | |
| dc.title.en | A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 2302.05207 | |
| 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-03979877 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03979877v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BONNEFONT,%20Michel&JOULIN,%20Ald%C3%A9ric&rft.genre=preprint |
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