{ "id": "1409.5201", "version": "v1", "published": "2014-09-18T06:11:19.000Z", "updated": "2014-09-18T06:11:19.000Z", "title": "C^1-generic billiard tables have a dense set of periodic points", "authors": [ "Marie-Claude Arnaud" ], "comment": "6 pages", "journal": "Regular and Chaotic Dynamics 18, 6 (2013) 697-702", "categories": [ "math.DS" ], "abstract": "We prove that the set of periodic points of a generic C^1-billiard table is dense in the phase space.", "revisions": [ { "version": "v1", "updated": "2014-09-18T06:11:19.000Z" } ], "analyses": { "keywords": [ "periodic points", "dense set", "billiard tables" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }