This preprint will be published by Springer-Verlag as a chapter of Linear and Complex Analysis Problem Book (eds. V. P. Havin and N. K. Nikolskii).

1. Quasiconformal Surgery and Deformations

• Ben Bielefeld: Questions in Quasiconformal Surgery
• Curt McMullen: Rational maps and Teichmüller space
• John Milnor: Problem: 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
• A. Eremenko and M. Lyubich: Wandering Domains for Holomorphic Maps

5. Newton's Method

• Scott Sutherland: Bad Polynomials for Newton's Method