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arXiv:math/0612272 [math.PR]AbstractReferencesReviewsResources

The Poisson boundary of triangular matrices in a number field

Bruno Schapira

Published 2006-12-11, updated 2008-09-19Version 3

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.

Comments: to appear in Annales Institut Fourier
Categories: math.PR
Subjects: 22D40, 28D05, 28D20, 60B15, 60J10
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