English

Problems in holomorphic dynamics

Dynamical Systems 2016-09-06 v1 Complex Variables

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

Keywords

Cite

@article{arxiv.math/9205209,
  title  = {Problems in holomorphic dynamics},
  author = {Ben Bielefeld and Mikhail Lyubich and Lennart Carleson and Robert Devaney and Alexandre Eremenko and Curt McMullen and John Milnor and Feliks Przytycki and Mary Rees and Scott Sutherland},
  journal= {arXiv preprint arXiv:math/9205209},
  year   = {2016}
}