The Poisson boundary of triangular matrices in a number field

Bruno Schapira

Preprints, Working Papers, ... Year : 2008

The Poisson boundary of triangular matrices in a number field

(1)

Bruno Schapira

Function : Author
PersonId : 833192

Laboratoire de Mathématiques d'Orsay

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

Bruhat decomposition random walks Poisson boundary triangular matrices number field Bruhat decomposition.

Domains

Probability [math.PR]

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poisson.pdf (241.05 Ko)

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https://hal.science/hal-00119525

Submitted on : Friday, September 19, 2008-7:17:06 PM

Last modification on : Thursday, April 4, 2024-4:26:24 PM

Long-term archiving on: Thursday, September 23, 2010-5:40:55 PM

Dates and versions

hal-00119525 , version 1 (11-12-2006)

hal-00119525 , version 2 (20-02-2007)

hal-00119525 , version 3 (19-09-2008)

Identifiers

HAL Id : hal-00119525 , version 3
ARXIV : math/0612272

Cite

Bruno Schapira. The Poisson boundary of triangular matrices in a number field. 2008. ⟨hal-00119525v3⟩

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The Poisson boundary of triangular matrices in a number field

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