{ "id": "1301.1884", "version": "v2", "published": "2013-01-09T15:09:28.000Z", "updated": "2013-12-18T06:15:43.000Z", "title": "Return times theorem for amenable groups", "authors": [ "Pavel Zorin-Kranich" ], "comment": "v2: 8 p., small corrections", "doi": "10.1007/s11856-014-1112-1", "categories": [ "math.DS" ], "abstract": "We extend Bourgain's return times theorem to arbitrary locally compact second countable amenable groups. The proof is based on a version of the Bourgain--Furstenberg--Katznelson--Ornstein orthogonality criterion.", "revisions": [ { "version": "v2", "updated": "2013-12-18T06:15:43.000Z" } ], "analyses": { "subjects": [ "37A15" ], "keywords": [ "second countable amenable groups", "compact second countable amenable", "extend bourgains return times theorem", "locally compact second countable" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1301.1884Z" } } }