The Poisson boundary of triangular matrices in a number field

Details The Poisson boundary of triangular matrices in a number field The Poisson boundary of triangular matrices in a number field

2006-12-11

arxiv.org/abs/math/0612272v3

Mathematics

Probability

to appear in Annales Institut Fourier

Scientific paper

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.

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