The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series, Series Number 274)

ISBN 10: 0521774764 / ISBN 13: 9780521774765

Published by Cambridge University Press, 2000

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Bibliographic Details

• Title: The Mandelbrot Set, Theme and Variations (London Mathematical Society Lecture Note Series, Series Number 274)
• Publisher: Cambridge University Press
• Publication Date: 2000
• Language: English
• ISBN 10: 0521774764
• ISBN 13: 9780521774765
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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 Chapters document important results hitherto unpublished or difficult to find in the literature.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

About the Author

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.