{ "id": "math/9205209", "version": "v1", "published": "1992-05-09T00:00:00.000Z", "updated": "1992-05-09T00:00:00.000Z", "title": "Problems in holomorphic dynamics", "authors": [ "Ben Bielefeld", "Mikhail Lyubich", "Lennart Carleson", "Robert Devaney", "Alexandre Eremenko", "Curt McMullen", "John Milnor", "Feliks Przytycki", "Mary Rees", "Scott Sutherland" ], "categories": [ "math.DS", "math.CV" ], "abstract": "Contents: 1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in quasiconformal surgery; Curt McMullen, Rational maps and Teichm\\\"uller space; John Milnor, Thurston's algorithm without critical finiteness; Mary Rees, A possible approach to a complex renormalization problem. 2. Geometry of Julia Sets: Lennart Carleson, Geometry of Julia sets; John Milnor, Problems on local connectivity. 3. Measurable Dynamics: Mikhail Lyubich, Measure and Dimension of Julia Sets; Feliks Przytycki, On invariant measures for iterations of holomorphic maps. 4. Iterates of Entire Functions: Robert Devaney, Open questions in non-rational complex dynamics; Alexandre Eremenko and Mikhail Lyubich, Wandering domains for holomorphic maps. 5. Newton's Method: Scott Sutherland, Bad polynomials for Newton's method", "revisions": [ { "version": "v1", "updated": "1992-05-09T00:00:00.000Z" } ], "analyses": { "keywords": [ "holomorphic dynamics", "julia sets", "quasiconformal surgery", "newtons method", "holomorphic maps" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1992math......5209B" } } }