A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
| hal.structure.identifier | Laboratoire de Mathématiques de Bretagne Atlantique [LMBA] | |
| dc.contributor.author | GRAMA, Ion | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | QUINT, Jean-François | |
| hal.structure.identifier | Universitat Hildesheim, Institut fur Mathematik and Angewandte Informatik, Hildesheim, Germany | |
| dc.contributor.author | XIAO, Hui | |
| dc.date | 2021 | |
| dc.date.accessioned | 2024-04-04T02:44:06Z | |
| dc.date.available | 2024-04-04T02:44:06Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0246-0203 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191378 | |
| dc.description.abstractEn | We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [21]. As an application, we establish a local limit theorem for the coefficients of random walks on the general linear group. Résumé. Nous prouvons une loi zéro-un pour la mesure stationnaire pour des ensembles algébriques en généralisant les résultats de Furstenberg [13] et Guivarc'h et Le Page [21]. Comme application, nous établissons un théorème local limite pour les coefficients de marches aléatoires sur le groupe linéaire général. | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | Institut Henri Poincaré (IHP) | |
| dc.subject.en | MSC2020 subject classifications: Primary 60B15 | |
| dc.subject.en | 15B52 | |
| dc.subject.en | 37A30 | |
| dc.subject.en | secondary 60B20 General linear group | |
| dc.subject.en | zero-one law | |
| dc.subject.en | stationary measure | |
| dc.subject.en | random matrices | |
| dc.subject.en | regularity | |
| dc.subject.en | algebraic set | |
| dc.title.en | A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| bordeaux.journal | Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques | |
| 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-03431376 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03431376v1 | |
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