Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot SetKarsten Keller

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

Name: Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
ISBN: 9783540674344

Karsten Keller · 2000

Where to buy

Amazon’s price changes daily, so the most accurate place to see it is there, at the moment you buy.

View on Amazon

About the book

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.

Book details

Year: 2000
Language: English
Publisher: Springer
Editions: 3
Pages: 206
ISBN: 9783540674344

Data source: Wikidata