{ "id": "1702.03972", "version": "v1", "published": "2017-02-13T20:27:26.000Z", "updated": "2017-02-13T20:27:26.000Z", "title": "On the Abel-Nörlund-Voronoi summability and instability of rational maps", "authors": [ "Carlos Cabrera", "Peter Makienko", "Alfredo Poirier" ], "comment": "21 pages", "categories": [ "math.DS", "math.CA" ], "abstract": "We investigate the connection between the instability of rational maps and summability methods applied to the spectrum of a critical point on the Julia set of a given rational map.", "revisions": [ { "version": "v1", "updated": "2017-02-13T20:27:26.000Z" } ], "analyses": { "subjects": [ "37F10", "40G05", "40G10" ], "keywords": [ "rational map", "abel-nörlund-voronoi summability", "instability", "summability methods" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }