Dynamics In One Complex Variable by John Milnor
Introductory Lectures
An accessible introduction to holomorphic dynamics in one complex variable, centered on the iteration of rational maps on the Riemann sphere. It develops the core theory of Fatou and Julia sets, critical orbits, hyperbolicity, structural stability, and normal families, while exploring parameter spaces such as the Mandelbrot set. The text emphasizes geometric intuition through examples, exercises, and tools like polynomial-like mappings and quasiconformal surgery, and highlights key results including the absence of wandering domains.
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- Published
- 1999
- Nationality
- American
- Length
- Medium
- Pages
- 250-320
- Original Language
- English
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