Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
1 edition
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Word Count
51,500 words, Guess
Page Count
206 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9063348M
- ISBN-139783540674344
- ISBN-103540674349
- OCLC Control Number43859546
- OCLC Control Numberinvariantfactors00kell
and 2 more
- Library of Congress Control Number00038818
- Goodreads3055909
Classifications
- LCCQA1-939
Description
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.
Subjects
Topics
Other Editions
- Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
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