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The Mandelbrot Set, Theme and Variations

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Description

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 Chapters document important results hitherto unpublished or difficult to find in the literature.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.

Author Biography:

Tan Lei has been a professor at the University of Angers since September 2009. Prior to that, he was a teacher and researcher at ENS Lyon, the University of Warwick and the Universite de Cergy-Pontoise.
Release date NZ
April 13th, 2000
Audience
  • Professional & Vocational
Contributor
  • Edited by Tan Lei
Illustrations
61 Line drawings, unspecified
Pages
388
Dimensions
153x230x22
ISBN-13
9780521774765
Product ID
2463780

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