{ "id": "math/0612272", "version": "v3", "published": "2006-12-11T09:45:15.000Z", "updated": "2008-09-19T18:04:36.000Z", "title": "The Poisson boundary of triangular matrices in a number field", "authors": [ "Bruno Schapira" ], "comment": "to appear in Annales Institut Fourier", "categories": [ "math.PR" ], "abstract": "The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to any number field a result of Brofferio concerning the Poisson boundary of random rational affinities.", "revisions": [ { "version": "v3", "updated": "2008-09-19T18:04:36.000Z" } ], "analyses": { "subjects": [ "22D40", "28D05", "28D20", "60B15", "60J10" ], "keywords": [ "number field", "poisson boundary", "random rational affinities", "invertible triangular matrices", "coefficients" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....12272S" } } }