Invariant Factors, Julia Equivalenc - E-book

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Invariant Factors, Julia Equivalences And The (abstract) Mandelbrot Set - ENG

Karsten Keller

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Sinopsis

ISBN:	9783540455899
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Equaciones Diferenciales general
Año de publicación:	2007-05-06

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 Thurstons 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.

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