Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
Karsten Keller (auth.)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.
Catégories:
Année:
2000
Edition:
1
Editeur::
Springer-Verlag Berlin Heidelberg
Langue:
english
Pages:
208
ISBN 10:
3540674349
ISBN 13:
9783540674344
Collection:
Lecture Notes in Mathematics 1732
Fichier:
DJVU, 1.91 MB
IPFS:
,
english, 2000
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