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The Mandelbrot Set, Theme and Variations: (London Mathematical Society Lecture Note Series)
By
Tan Lei (Contributor)
Paperback
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Description
The Mandelbrot set is a fractal shape that classifies the dynamics of quadratic polynomials. It has a remarkably rich geometric and combinatorial structure. This volume provides 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. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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 researchers in dynamical systems and Kleinian groups. 61 Line drawings, unspecified
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.
More Details
- Contributor: Tan Lei
- Imprint: Cambridge University Press
- ISBN13: 9780521774765
- Number of Pages: 388
- Packaged Dimensions: 153x230x22mm
- Packaged Weight: 525
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 2000-04-13
- Series: London Mathematical Society Lecture Note Series
- Binding: Paperback / softback
- 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.
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