Poisson boundary of $GL_d(\Q)$
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)
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