{ "id": "1701.04977", "version": "v1", "published": "2017-01-18T07:30:50.000Z", "updated": "2017-01-18T07:30:50.000Z", "title": "On the rate of equidistribution of expanding translates of horospheres in $Γ\\backslash G$", "authors": [ "Samuel C. Edwards" ], "categories": [ "math.DS" ], "abstract": "Let $G$ be a semisimple Lie group and $\\Gamma$ a lattice in $G$. We generalize a method of Burger to prove precise effective equidistribution results for translates of pieces of horospheres in the homogeneous space $\\Gamma\\backslash G$.", "revisions": [ { "version": "v1", "updated": "2017-01-18T07:30:50.000Z" } ], "analyses": { "subjects": [ "37A17" ], "keywords": [ "expanding translates", "horospheres", "precise effective equidistribution results", "semisimple lie group", "homogeneous space" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }