A note on spectral gap and weighted Poincar\'e inequalities for some one-dimensional diffusions
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | JOULIN, Aldéric | |
| hal.structure.identifier | Beijing Normal University [BNU] | |
| dc.contributor.author | MA, Yutao | |
| dc.date.accessioned | 2024-04-04T03:20:12Z | |
| dc.date.available | 2024-04-04T03:20:12Z | |
| dc.date.issued | 2016-06-03 | |
| dc.identifier.issn | 1292-8100 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194571 | |
| dc.description.abstractEn | We present some classical and weighted Poincar\'e inequalities for some one-dimensional probability measures. This work is the one-dimensional counterpart of a recent study achieved by the authors for a class of spherically symmetric probability measures in dimension larger than 2. Our strategy is based on two main ingredients: on the one hand, the optimal constant in the desired weighted Poincar\'e inequality has to be rewritten as the spectral gap of a convenient Markovian diffusion operator, and on the other hand we use a recent result given by the two first authors, which allows to estimate precisely this spectral gap. In particular we are able to capture its exact value for some examples. | |
| dc.description.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.description.sponsorship | Stabilité du comportement asymptotique d'EDP, de processus stochastiques et de leurs discrétisations. - ANR-12-BS01-0019 | |
| dc.description.sponsorship | Géométrie des mesures convexes et discrètes - ANR-11-BS01-0007 | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | A note on spectral gap and weighted Poincar\'e inequalities for some one-dimensional diffusions | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.identifier.arxiv | 1411.5982 | |
| bordeaux.journal | ESAIM: Probability and Statistics | |
| bordeaux.volume | 20 | |
| 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-01082182 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01082182v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Probability%20and%20Statistics&rft.date=2016-06-03&rft.volume=20&rft.eissn=1292-8100&rft.issn=1292-8100&rft.au=BONNEFONT,%20Michel&JOULIN,%20Ald%C3%A9ric&MA,%20Yutao&rft.genre=article |
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