Holomorphic dynamics on hyperbolic Riemann surfaces / Marco Abate.

Format:

Book

Author/Creator:

Abate, Marco, 1962- author.

Series:

De Gruyter studies in mathematics ; Volume 89.

De Gruyter Studies in Mathematics ; Volume 89

Language:

English

Subjects (All):

Holomorphic functions.

Physical Description:

1 online resource

Place of Publication:

Berlin : De Gruyter, 2022.

Summary:

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.

Contents:

Frontmatter

Contents

Introduction

1 The Schwarz lemma and Riemann surfaces

2 Boundary Schwarz lemmas

3 Discrete dynamics on Riemann surfaces

4 Discrete dynamics on the unit disk

5 Continuous dynamics on Riemann surfaces

A Appendix

Bibliography

Index

Notes:

Description based on print version record.

ISBN:

9783110601978

3110601974

9783110598742

3110598744

OCLC:

1353268811