{ "id": "1208.2045", "version": "v2", "published": "2012-08-09T21:24:13.000Z", "updated": "2012-12-23T16:07:04.000Z", "title": "Lower bounds on the Hausdorff measure of nodal sets II", "authors": [ "Christopher D. Sogge", "Steve Zelditch" ], "comment": "Change of title and other revisions. 4 pages", "journal": "Math. Res. Lett. 19 (2012), 1361-1364", "categories": [ "math.AP" ], "abstract": "We give a very short argument showing how the main identity from our earlier paper (Sogge and Zelditch, 2011) immediately leads to the best lower bound currently known (Colding and Minicozzi II, 2011) for the Hausdorff measure of nodal sets in dimensions $n\\ge 3$.", "revisions": [ { "version": "v2", "updated": "2012-12-23T16:07:04.000Z" } ], "analyses": { "subjects": [ "58J50", "28A78", "35P15", "35R01" ], "keywords": [ "nodal sets", "hausdorff measure", "earlier paper", "best lower bound", "main identity" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.2045S" } } }