The Poisson boundary of random rational affinities

Simple item page
dc.creatorBrofferio, Sara
dc.date2004-03-11
dc.date.accessioned2026-07-07T05:06:19Z
dc.date.available2026-07-07T05:06:19Z
dc.descriptionThe group of affine transformations with rational coefficients acts naturally on the real line, but also on the $p$-adic fields. The aim of this note is to show that, for random walks whose laws have a finite first moment, all these actions are necessary and sufficient to describe the Poisson boundary, which is in fact the product of all the fields that contract in mean.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0403198
dc.identifierhttp://arxiv.org/abs/math/0403198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70429
dc.subjectProbability
dc.subject60B99, 60J50, 43A05, 22E35
dc.titleThe Poisson boundary of random rational affinities
dc.typetext

Files

Collections

arXiv