Holomorphic Dynamics on Hyperbolic Riemann Surfaces

Marco Abate

Published by De Gruyter 2023

Holomorphic Dynamics on Hyperbolic Riemann Surfaces

Marco Abate

Volume 89 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110601978

Overview
Contents

About this book

This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.

A revised and updated edition of a classic book in complex dynamics
Written by one of the foremost experts in the field
Of interest to graduate students and researhers in holomorphic dynamics, complex geometry, and geometric function theory

Author / Editor information

Marco Abate, Università di Pisa, Italy.

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Introduction Publicly Available Download PDF	VII
1 The Schwarz lemma and Riemann surfaces Requires Authentication Unlicensed Licensed Download PDF	1
2 Boundary Schwarz lemmas Requires Authentication Unlicensed Licensed Download PDF	96
3 Discrete dynamics on Riemann surfaces Requires Authentication Unlicensed Licensed Download PDF	158
4 Discrete dynamics on the unit disk Requires Authentication Unlicensed Licensed Download PDF	212
5 Continuous dynamics on Riemann surfaces Requires Authentication Unlicensed Licensed Download PDF	294
A Appendix Requires Authentication Unlicensed Licensed Download PDF	325
Bibliography Requires Authentication Unlicensed Licensed Download PDF	337
Index Requires Authentication Unlicensed Licensed Download PDF	353

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Graduate students and researchers in mathematics.
Pages
- Front matter: 14
- Main content: 358
Illustrations
- Illustrations: 16
Keywords: Geometrische Funktionentheorie; Holomorphe Funktion; Komplexe Geometrie

eBook

Published: December 5, 2022
ISBN: 9783110601978

Hardcover

Published: December 5, 2022
ISBN: 9783110601053