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Invariant factors, Julia equivalences, and the (abstract) Mandelbrot set / Karsten Keller
- 作者： Keller, Karsten.
- 其他作者：
- 其他題名：
- Springer e-books
- 出版： New York : Springer c2000
- 叢書名： Lecture notes in mathematics ,1732
- 主題： Symbolic dynamics. , Topological dynamics. , Analytic functions. , Functions of complex variables.
- ISBN： 9783540674344 (paper)
- URL：
電子書
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讀者標籤：
- 系統號： 005167631 | 機讀編目格式
館藏資訊
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in functions of one complex variable is assumed.
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