The Mandelbrot Set, Theme and Variations

Tan Lei (Université de Cergy-Pontoise), N. J. Hitchin

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English

Cambridge University Press
15 April 2000

Mathematics & Sciences; Analytic topology; Probability & statistics

Series: London Mathematical Society Lecture Note Series

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 Chapters document important results hitherto unpublished or difficult to find in the literature.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

Edited by: Tan Lei (Université de Cergy-Pontoise)
Series edited by: N. J. Hitchin
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No. 274
Dimensions: Height: 230mm, Width: 153mm, Spine: 22mm
Weight: 525g
ISBN: 9780521774765
ISBN 10: 0521774764
Series: London Mathematical Society Lecture Note Series
Pages: 388
Publication Date: 15 April 2000
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Reviews for The Mandelbrot Set, Theme and Variations

'... this collection presents important results hitherto unpublished or difficult to find in the literature.' European Maths Society Journal 'The analytic techniques employed cover an exceptionally broad range and students of mainstream science in search of an appropriate mathematical model to fit their dynamical scheme will find a very solid theoretical base going way beyond the basic concepts.' Contemporary Physics ... should be studied in depth by any potential worker in this field. This book should remain popular for many years to come.' The Mathematical Gazette