A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group

DOI10.1214/21-AIHP1221zbMath1505.37015arXiv2009.11593OpenAlexW3215461415WikidataQ115021772 ScholiaQ115021772MaRDI QIDQ2080812

Jean-François Quint, Hui Xiao, I. G. Grama

Publication date: 11 October 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11593

zbMATH Keywords

regularityrandom matricesalgebraic setstationary measuregeneral linear groupzero-one law

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Random matrices (algebraic aspects) (15B52) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Berry-Esseen bounds with targets and local limit theorems for products of random matrices ⋮ Large deviation expansions for the coefficients of random walks on the general linear group ⋮ Random walks on \(\mathrm{SL}_2({\mathbb{C}})\): spectral gap and limit theorems ⋮ Moderate deviations and local limit theorems for the coefficients of random walks on the general linear group

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