Title:
Transcendental dynamics and complex analysis : a tribute to Noel Baker
Series:
London mathematical society lecture note series ; 348
Publication Information:
New York, NY : Cambridge University Press, 2008
Physical Description:
xix, 451 p. : ill. ; 23 cm.
ISBN:
9780521683722
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010179339 | QA331.7 T72 2008 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.
Table of Contents
| Introduction |
| 1 Iteration of inner functions and boundaries of components of the Fatou setD. Bargmann |
| 2 Conformal automorphisms of finitely connected regionsA. F. Beardon and D. Minda |
| 3 Meromorphic functions with two completely invariant domainsW. Bergweiler and A. Eremenko |
| 4 A family of matings between transcendental entire functions and a Fuchsian groupS. Bullett and M. Freiberger |
| 5 Singular perturbations of z^nR. Devaney and M. Holzer and D. Look and M. Moreno Rocha and D. Uminsky |
| 6 Residual Julia sets of rational and transcendental functionsP. DomA-nguez and N. Fagella |
| 7 Bank-Laine functions via quasiconformal surgeryD. Drasin and J. K. Langley |
| 8 Generalisations of uniformly normal familiesW. K. Hayman and A. Hinkkanen |
| 9 Entire functions with bounded Fatou componentsA. Hinkkanen |
| 10 On multiply connected wandering domains of entire functionsM. Kisaka and M. Shishikura |
| 11 Fractal measures and ergodic theory of transcendental meromorphic functionsJ. Kotus and M. UrbaA"ski |
| 12 Combinatorics of bifurcations in exponential parameter spaceL. Rempe and D. Schleicher |
| 13 Baker domainsP. J. Rippon |
| 14 Escaping points of the cosine familyG. Rottenfusser and D. Schleicher |
| 15 Dimensions of Julia sets of transcendental meromorphic functionsG. M. Stallard |
| 16 Abel's functional equation and its role in the problem of croissance r_guli+reG. Szekeres |
