{ "id": "1411.5900", "version": "v1", "published": "2014-11-21T15:03:12.000Z", "updated": "2014-11-21T15:03:12.000Z", "title": "Logarithm Laws for Unipotent Flows, II", "authors": [ "Jayadev S. Athreya", "Gregory Margulis" ], "categories": [ "math.DS" ], "abstract": "We prove analogs of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces $G/\\Gamma$. We describe some relations with multi-dimensional diophantine approximation.", "revisions": [ { "version": "v1", "updated": "2014-11-21T15:03:12.000Z" } ], "analyses": { "subjects": [ "11H16" ], "keywords": [ "unipotent flows", "logarithm laws", "multi-dimensional diophantine approximation", "homogeneous spaces", "kleinbock-margulis" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.5900A" } } }