Invariant factors, Julia equivalences and the (abstract) Mandelbrot set

著者

• Keller, Karsten

書誌事項

Invariant factors, Julia equivalences and the (abstract) Mandelbrot set

Karsten Keller

（Lecture notes in mathematics, 1732）

Springer, c2000

注記

Includes bibliographical references (p. [193]-200) and index

内容説明・目次

内容説明

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.

目次

Abstract Julia sets.- The Abstract Mandelbrot set.- Abstract and concrete theory.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA46664589
• ISBN:
  • 3540674349
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: x, 205 p.
• 大きさ: 23 cm
• 親書誌ID:
  • BA00146586