Dynamics in one complex variable /
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form...
| Main Author: | |
|---|---|
| Format: | Licensed eBooks |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
2006.
|
| Edition: | 3rd ed. |
| Series: | Annals of mathematics studies ;
no. 160. |
| Online Access: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=356986 |
Table of Contents:
- Riemann surfaces
- Iterated holomorphic maps
- Local fixed point theory
- Periodic points: global theory
- Structure of the Fatou set
- Using the Fatou set to study the Julia set.