A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
Probability
2024-12-23 v1 Group Theory
Abstract
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 [20]. As an application, we establish a local limit theorem for the coefficients of random walks on the general linear group.
Keywords
Cite
@article{arxiv.2009.11593,
title = {A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group},
author = {Ion Grama and Jean-François Quint and Hui Xiao},
journal= {arXiv preprint arXiv:2009.11593},
year = {2024}
}