Poisson boundary of $GL_d(\Q)$
Probability
2009-11-17 v2
Abstract
We construct the Poisson boundary for a random walk supported by the general linear group on the rational numbers as the product of flag manifolds over the -adic fields. To this purpose, we prove a law of large numbers using the Oseledets' multiplicative ergodic theorem.
Keywords
Cite
@article{arxiv.0906.5548,
title = {Poisson boundary of $GL_d(\Q)$},
author = {Sara Brofferio and Bruno Schapira},
journal= {arXiv preprint arXiv:0906.5548},
year = {2009}
}
Comments
minor corrections, more details in the introduction