{ "id": "2206.10020", "version": "v1", "published": "2022-06-20T21:56:52.000Z", "updated": "2022-06-20T21:56:52.000Z", "title": "On the nodal structures of random fields -- a decade of results", "authors": [ "Igor Wigman" ], "comment": "29 pages", "categories": [ "math.PR", "math-ph", "math.AP", "math.MP", "math.NT" ], "abstract": "We survey a decade worth of work pertaining to the nodal structures of random fields, with emphasis on the transformative techniques that shaped the field. A number of unpublished results, whose proof is based on the presented techniques, is presented. Some known results are properly attributed, to correct the mis-attributions made by some authors.", "revisions": [ { "version": "v1", "updated": "2022-06-20T21:56:52.000Z" } ], "analyses": { "keywords": [ "random fields", "nodal structures", "decade worth", "transformative techniques", "unpublished results" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable" } } }