{ "id": "1709.01378", "version": "v1", "published": "2017-09-05T13:35:37.000Z", "updated": "2017-09-05T13:35:37.000Z", "title": "A closing lemma for polynomial automorphisms of C^2", "authors": [ "Romain Dujardin" ], "categories": [ "math.DS" ], "abstract": "We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.", "revisions": [ { "version": "v1", "updated": "2017-09-05T13:35:37.000Z" } ], "analyses": { "keywords": [ "polynomial automorphisms", "closing lemma", "saddle periodic points", "polynomial diffeomorphism", "invariant measure" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }