书目名称 | Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set | 编辑 | Karsten Keller | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | 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. | 出版日期 | Book 2000 | 关键词 | Julia set; Mandelbrot set; Quadratic Iteraction; set; topology; partial differential equations | 版次 | 1 | doi | https://doi.org/10.1007/BFb0103999 | isbn_softcover | 978-3-540-67434-4 | isbn_ebook | 978-3-540-45589-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2000 |
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