no. 2

The Poisson boundary of random rational affinities
[La frontière de Poisson des affinités aléatoires à coefficients rationnels]
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 : https://doi.org/10.5802/aif.2191
Classification : 60B99,  60J50,  43A05,  22E35
Mots clés : frontière de Poisson, marches aléatoires, groupe affine, nombres rationnels, nombres p-adiques 
@article{AIF_2006__56_2_499_0,
     author = {Brofferio, Sara},
     title = {The Poisson boundary of random rational affinities},
     journal = {Annales de l'Institut Fourier},
     pages = {499--515},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {56},
     number = {2},
     year = {2006},
     doi = {10.5802/aif.2191},
     mrnumber = {2226025},
     zbl = {1087.60011},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.2191/}
}
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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