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

Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set, 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 a, Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set has a rating of 3 stars
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Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set, 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 a, Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
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  • Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
  • Written by author Karsten Keller
  • Published by Springer-Verlag New York, LLC, June 2000
  • 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 a
  • 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 a
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1. Introduction: Quadratic iteration and Julia equivalences. The Mandelbrot set.- 2. Abstract Julia sets: Symbolic dynamics of the angle-doubling map. Invariant laminations. Julia equivalences.- 3. The Abstract Mandelbrot set: The Abstract Mandelbrot set - an atlas of Abstract Julia sets. The ordered Abstract Mandelbrot set. Renormalization. Correspondence and Translation Principles.- 4. Abstract and concrete theory: Quadratic iteration. Miscellaneous. Appendix: Invariant and completely invariant factors. Simple statements. Shift-invariant factors. Further interesting examples.


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

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

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

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

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