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OverviewThis 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. Full Product DetailsAuthor: Karsten KellerPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2000 ed. Volume: 1732 Dimensions: Width: 15.50cm , Height: 1.10cm , Length: 23.50cm Weight: 0.700kg ISBN: 9783540674344ISBN 10: 3540674349 Pages: 208 Publication Date: 06 May 2000 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsAbstract Julia sets.- The Abstract Mandelbrot set.- Abstract and concrete theory.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |