{ "id": "1503.02710", "version": "v1", "published": "2015-03-09T21:56:58.000Z", "updated": "2015-03-09T21:56:58.000Z", "title": "Reading escaping trees from Hubbard trees in Sn", "authors": [ "Matthieu Arfeux" ], "comment": "21 pages", "categories": [ "math.DS" ], "abstract": "We prove that the parameter space of monic centered cubic polynomials with a critical point of exact period n=4 is connected. The techniques developed for this proof work for every n and provide an interesting relation between escaping trees of DeMarco-McMullen and Hubbard trees.", "revisions": [ { "version": "v1", "updated": "2015-03-09T21:56:58.000Z" } ], "analyses": { "subjects": [ "37F20" ], "keywords": [ "reading escaping trees", "hubbard trees", "monic centered cubic polynomials", "parameter space", "exact period" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }