The Poisson boundary of triangular matrices in a number field

2006/12/11 by Bruno Schapira, Schapira, Bruno
Mathematics · #22D40 #28D05 #28D20 #60B15 #60J10 #60J50. #FOS: Mathematics #Probability (math.PR) #math.PR #msc:22D40 #msc:28D05 #msc:28D20 #msc:60B15 #msc:60J10 #msc:60J50.

paper · pdf · doi:10.48550/arxiv.math/0612272

to appear in Annales Institut Fourier

arxiv created 2008/09/19 · arxiv updated 2009/12/01

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.

Related

• The Poisson boundary of random rational affinities
• Poisson boundary for finitely generated groups of rational affinities
• Poisson boundary of GL_d(\Q)
• The Poisson boundary of a locally discrete group of diffeomorphisms of the circle
• Poisson boundaries of II₁ factors