{ "id": "math/9710212", "version": "v1", "published": "1997-10-15T00:00:00.000Z", "updated": "1997-10-15T00:00:00.000Z", "title": "Rational rays and critical portraits of complex polynomials", "authors": [ "Jan Kiwi" ], "comment": "50 pages, 15 PostScript figures", "categories": [ "math.DS" ], "abstract": "The aim of this work is to describe the equivalence relations in $\\Q/\\Z$ that arise as the rational lamination of polynomials with all cycles repelling. We also describe where in parameter space one can find a polynomial with all cycles repelling and a given rational lamination. At the same time we derive some consequences that this study has regarding the topology of Julia sets.", "revisions": [ { "version": "v1", "updated": "1997-10-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "complex polynomials", "rational rays", "critical portraits", "rational lamination", "parameter space" ], "note": { "typesetting": "TeX", "pages": 50, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math.....10212K" } } }