The Poisson boundary of triangular matrices in a number field
arXiv:math/0612272
Abstract
The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to any number field a result of Brofferio concerning the Poisson boundary of random rational affinities.
to appear in Annales Institut Fourier