A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
Langue
en
Article de revue
Ce document a été publié dans
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 2021
Institut Henri Poincaré (IHP)
Date de soutenance
2021Résumé en anglais
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 ...Lire la suite >
Mots clés en anglais
MSC2020 subject classifications: Primary 60B15
15B52
37A30
secondary 60B20 General linear group
zero-one law
stationary measure
random matrices
regularity
algebraic set
Project ANR
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020