The Poisson boundary of random rational affinities

Sara Brofferio[1]

  • [1] Technische Universität Graz Institut für Mathematik C Steyergasse 30 A-8010 Graz (Austria)

Annales de l’institut Fourier (2006)

  • Volume: 56, Issue: 2, page 499-515
  • ISSN: 0373-0956

Abstract

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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 -adic fileds.

How to cite

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Brofferio, Sara. "The Poisson boundary of random rational affinities." Annales de l’institut Fourier 56.2 (2006): 499-515. <http://eudml.org/doc/10155>.

@article{Brofferio2006,
abstract = {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.},
affiliation = {Technische Universität Graz Institut für Mathematik C Steyergasse 30 A-8010 Graz (Austria)},
author = {Brofferio, Sara},
journal = {Annales de l’institut Fourier},
keywords = {Poisson boundary; random walks; affine group; rational numbers; $p$-adic numbers},
language = {eng},
number = {2},
pages = {499-515},
publisher = {Association des Annales de l’institut Fourier},
title = {The Poisson boundary of random rational affinities},
url = {http://eudml.org/doc/10155},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Brofferio, Sara
TI - The Poisson boundary of random rational affinities
JO - Annales de l’institut Fourier
PY - 2006
PB - Association des Annales de l’institut Fourier
VL - 56
IS - 2
SP - 499
EP - 515
AB - 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.
LA - eng
KW - Poisson boundary; random walks; affine group; rational numbers; $p$-adic numbers
UR - http://eudml.org/doc/10155
ER -

References

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