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...
| Tác giả chính: | |
|---|---|
| Định dạng: | Licensed eBooks |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Princeton :
Princeton University Press,
2006.
|
| Phiên bản: | 3rd ed. |
| Loạt: | Annals of mathematics studies ;
no. 160. |
| Truy cập trực tuyến: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=356986 |
Mục lục:
- 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.