Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- 1 Iteration of inner functions and boundaries of components of the Fatou set
- 2 Conformal automorphisms of finitely connected regions
- 3 Meromorphic functions with two completely invariant domains
- 4 A family of matings between transcendental entire functions and a Fuchsian group
- 5 Singular perturbations of zn
- 6 Residual Julia sets of rational and transcendental functions
- 7 Bank-Laine functions via quasiconformal surgery
- 8 Generalisations of uniformly normal families
- 9 Entire functions with bounded Fatou components
- 10 On multiply connected wandering domains of entire functions
- 11 Fractal measures and ergodic theory of transcendental meromorphic functions
- 12 Combinatorics of bifurcations in exponential parameter space
- 13 Baker domains
- 14 Escaping points of the cosine family
- 15 Dimensions of Julia sets of transcendental meromorphic functions
- 16 Abel's functional equation and its role in the problem of croissance régulière
Preface
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- Introduction
- 1 Iteration of inner functions and boundaries of components of the Fatou set
- 2 Conformal automorphisms of finitely connected regions
- 3 Meromorphic functions with two completely invariant domains
- 4 A family of matings between transcendental entire functions and a Fuchsian group
- 5 Singular perturbations of zn
- 6 Residual Julia sets of rational and transcendental functions
- 7 Bank-Laine functions via quasiconformal surgery
- 8 Generalisations of uniformly normal families
- 9 Entire functions with bounded Fatou components
- 10 On multiply connected wandering domains of entire functions
- 11 Fractal measures and ergodic theory of transcendental meromorphic functions
- 12 Combinatorics of bifurcations in exponential parameter space
- 13 Baker domains
- 14 Escaping points of the cosine family
- 15 Dimensions of Julia sets of transcendental meromorphic functions
- 16 Abel's functional equation and its role in the problem of croissance régulière
Summary
This book was written in honour of Noel Baker following his sudden death in 2001. It comprises a collection of articles written by friends, colleagues and former students of Noel. In particular, we are delighted that Noel's MSc supervisor and long-time friend, George Szekeres, was able to contribute a paper to this volume—he sadly died before the book was published.
All of these articles deal with topics that interested Noel and, in most cases, they are in areas where Noel's own work has been very influential. Several of the papers are survey articles that we hope will be a valuable addition to the literature. There are also new results that Noel would have been delighted to have seen. Most of the papers deal with the iteration of transcendental meromorphic functions—the field in which Noel was pre-eminent and in which he carried out much of the pioneering work—and there are also some papers in closely related topics that he would have enjoyed. As this volume shows, much of the recent work in complex dynamics (as the subject of iteration theory is now called) builds on ideas and techniques that Noel introduced and that will continue to be used by all those who work in this field. We hope that this book will be a fitting memorial to a man who inspired so many of us.
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- Chapter
- Information
- Transcendental Dynamics and Complex Analysis , pp. vii - viiiPublisher: Cambridge University PressPrint publication year: 2008