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The Mandelbrot Set, Theme and Variations

The Mandelbrot Set, Theme and Variations

Paperback

Series: London Mathematical Society Lecture Note, Book 274

Medical ReferenceGeneral MathematicsProbability & Statistics

ISBN10: 0521774764
ISBN13: 9780521774765
Publisher: Cambridge University Press
Published: Apr 13 2000
Pages: 388
Weight: 1.25
Height: 0.86 Width: 6.00 Depth: 9.00
Language: English
This volume presents a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. Topics discussed include the universality and the local connectivity of the Mandelbrot set, parabolic bifurcations, critical circle homeomorphisms, absolutely continuous invariant measures and matings of polynomials, along with the geometry, dimension and local connectivity of Julia sets. Chapters document important results hitherto unpublished or difficult to find in the literature. This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as to researchers in dynamical systems and Kleinian groups.

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