Poisson boundary for finitely generated groups of rational affinities
Brofferio, Sara
Original · EN
The 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.
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