Poisson boundary for finitely generated groups of rational affinities

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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, $aff(Q)$, acts naturally on the real line, but also on the $p$-adic fields. The aim of this note is to show that all these actions are necessary and sufficient to represent bounded $μ$-harmonic functions for a probability measure $μ$ on $aff(Q)$ that is supported by a finitely generated sub-group, that is to describe the Poisson boundary.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0403197
dc.identifierhttp://arxiv.org/abs/math/0403197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70428
dc.subjectProbability
dc.subject60B99, 60J50, 43A05, 22E35
dc.titlePoisson boundary for finitely generated groups of rational affinities
dc.typetext

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