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Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set (Lecture Notes in Mathematics (1732)) by Karsten Keller (auth.) is a nonfiction available to read on EtoBox.

What is Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set (Lecture Notes in Mathematics (1732)) about?

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. 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 Facto

Who reads Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set (Lecture Notes in Mathematics (1732))?

Author

Karsten Keller (auth.)

Publisher

Springer-Verlag Berlin Heidelberg

Published

2000

Language

EN

ISBN

9783540674344

Category

nonfiction

Subjects

Mathematics, Medical, Stem