The Poisson boundary of random rational affinities
[La frontière de Poisson des affinités aléatoires à coefficients rationnels]
Brofferio, Sara1
1 Technische Universität Graz Institut für Mathematik C Steyergasse 30 A-8010 Graz (Austria)
Annales de l'Institut Fourier, Tome 56 (2006) no. 2, pp. 499-515.

On prouve que pour décrire la frontière de Poisson des affinités à coefficients rationnels est nécessaire et suffisant de considérer l’action sur le corps réel et tous les corps p-adiques.

We prove that in order to describe the Poisson boundary of rational affinities, it is necessary and sufficient to consider the action on real and all p-adic fileds.

DOI : 10.5802/aif.2191
Classification : 60B99, 60J50, 43A05, 22E35
Keywords: Poisson boundary, random walks, affine group, rational numbers, $p$-adic numbers
Mot clés : frontière de Poisson, marches aléatoires, groupe affine, nombres rationnels, nombres $p$-adiques
Brofferio, Sara 1

1 Technische Universität Graz Institut für Mathematik C Steyergasse 30 A-8010 Graz (Austria) 
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Brofferio, Sara. The Poisson boundary of random rational affinities. Annales de l'Institut Fourier, Tome 56 (2006) no. 2, pp. 499-515. doi : 10.5802/aif.2191. http://www.numdam.org/articles/10.5802/aif.2191/

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