Poisson boundary of triangular matrices in a number field
[Frontière de Poisson des matrices triangulaires à coefficients dans un corps de nombre]
Schapira, Bruno
Annales de l'Institut Fourier, Tome 59 (2009), p. 575-593 / Harvested from Numdam
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L’objet de cette note est de décrire la frontière de Poisson du groupe des matrices triangulaires supérieures inversibles à coefficients dans un corps de nombre. C’est une généralisation en dimension supérieure d’un résultat de Brofferio concernant la frontière de Poisson du groupe des applications affines rationnelles.

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.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/aif.2441
Classification:  22D40,  28D05,  28D20,  60B15,  60J10,  60J50
Mots clés: Marches aléatoire, Frontière de Poisson, matrices triangulaires, corps de nombre, décomposition de Bruhat 
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     year = {2009},
     pages = {575-593},
     doi = {10.5802/aif.2441},
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     mrnumber = {2521429},
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Schapira, Bruno. Poisson boundary of triangular matrices in a number field. Annales de l'Institut Fourier, Tome 59 (2009) pp. 575-593. doi : 10.5802/aif.2441. http://gdmltest.u-ga.fr/item/AIF_2009__59_2_575_0/

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