{ "id": "1304.7143", "version": "v2", "published": "2013-04-26T12:42:10.000Z", "updated": "2013-10-29T07:28:40.000Z", "title": "The size of the nodal sets for the eigenfunctions of the smooth laplacian", "authors": [ "Demetrios A. Pliakis" ], "comment": "35 pages", "categories": [ "math.AP" ], "abstract": "We prove estimates for eigenfunctions on a manifold equipped with a smooth metric. We use these estimates in order estimate the size of their nodal sets.", "revisions": [ { "version": "v2", "updated": "2013-10-29T07:28:40.000Z" } ], "analyses": { "keywords": [ "nodal sets", "smooth laplacian", "eigenfunctions" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1304.7143P" } } }