English

The Poisson boundary of triangular matrices in a number field

Probability 2008-09-19 v3

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.

Keywords

Cite

@article{arxiv.math/0612272,
  title  = {The Poisson boundary of triangular matrices in a number field},
  author = {Bruno Schapira},
  journal= {arXiv preprint arXiv:math/0612272},
  year   = {2008}
}

Comments

to appear in Annales Institut Fourier

R2 v1 2026-07-22T17:47:38.821Z