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Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set

โœ Scribed by Karsten Keller (auth.)

Book ID
127450574
Publisher
Springer
Year
2000
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540455892
ISSN
0075-8434

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โœฆ Synopsis

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.

โœฆ Subjects

Topology

๐Ÿ“œ SIMILAR VOLUMES

Invariant Factors, Julia Equivalences an
Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
โœ Karsten Keller (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2000 ๐Ÿ› Springer ๐ŸŒ English โš– 2 MB

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-doub