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arXiv:0906.5548 [math.PR]AbstractReferencesReviewsResources

Poisson boundary of $GL_d(\Q)$

Sara Brofferio, Bruno Schapira

Published 2009-06-30, updated 2009-11-17Version 2

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 $p$-adic fields. To this purpose, we prove a law of large numbers using the Oseledets' multiplicative ergodic theorem.

Comments: minor corrections, more details in the introduction
Categories: math.PR
Subjects: 22D40, 28D05, 28D20, 43A05, 60B15, 60J50
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