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Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set : Lecture Notes in Mathematics - Karsten Keller

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

Lecture Notes in Mathematics

Paperback Published: June 2000
ISBN: 9783540674344
Number Of Pages: 208

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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 & on symbolic descriptions of the angle-doubling map.

Introduction: Quadratic iteration and Julia equivalences.
The Mandelbrot set.
Abstract Julia sets: Symbolic dynamics of the angle-doubling map.
Invariant laminations.
Julia equivalences.
The Abstract Mandelbrot set: The Abstract Mandelbrot set - an atlas of Abstract Julia sets.
The ordered Abstract Mandelbrot set.
Renormalization.
Correspondence and Translation Principles.
Abstract and concrete theory: Quadratic iteration.
Miscellaneous.
Appendix: Invariant and completely invariant factors.
Simple statements.
Shift-invariant factors.
Further interesting examples.
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540674344
ISBN-10: 3540674349
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 208
Published: June 2000
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.17
Weight (kg): 0.31

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