Features

· Includes introductory lectures on the linearization of irrationally indifferent fixed points

· Offers results that establish the existence of Siegel discs of quadratic polynomials with a locally connected boundary

· Surveys the directions of current research in iteration theory

· Provides extensive bibliographies

Part I

On the Brjuno Condition, Part I, S. Petersen

On the Brjuno Condition, Part II, P. Bonfert

Linearization of Structurally Stable Polynomials, L. Geyer

Part II

Herman's Proof of the Existence of Critical Points on the Boundary of Singular Domains, H. Kriete

Recent Results on the Boundaries of Siegel Discs, J.T. Rogers Jr.

Part III

Puzzles and Siegel Discs, C.L. Petersen

Julia Equivalences and Abstract Siegel Discs, K. Keller

Part IV

Sharing a Julia Set: The Polynomial Case, P. Atela

Approximating Transcendental Julia Sets, B. Krauskopf and H. Kriete

Surgery on the Limbs of the Mandelbrot Set, N. Fagella

Julia Sets in Cn, S.M. Heinemann