{ "id": "1009.4156", "version": "v2", "published": "2010-09-21T17:38:59.000Z", "updated": "2010-10-26T15:20:04.000Z", "title": "Lower bounds for nodal sets of eigenfunctions", "authors": [ "Tobias H. Colding", "William P. Minicozzi II" ], "comment": "To appear in Communications in Mathematical Physics; revised to include two additional references and update bibliographic information", "categories": [ "math.AP", "math.DG" ], "abstract": "We prove lower bounds for the Hausdorff measure of nodal sets of eigenfunctions.", "revisions": [ { "version": "v2", "updated": "2010-10-26T15:20:04.000Z" } ], "analyses": { "keywords": [ "lower bounds", "nodal sets" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s00220-011-1225-x", "journal": "Communications in Mathematical Physics", "year": 2011, "month": "Sep", "volume": 306, "number": 3, "pages": 777 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011CMaPh.306..777C" } } }