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The Mandelbrot Set, Theme and Variations
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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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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.
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Cambridge University Press; April 2000
388 pages; ISBN 9781139244374
Read online, or download in secure PDF format
388 pages; ISBN 9781139244374
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > Geometry. Trigonometry.Topology > Global analysis (Mathematics)
- Academic > Mathematics > Geometry. Trigonometry.Topology > Differentiable dynamical systems
- Academic > Mathematics > Geometry. Trigonometry.Topology > Fractals
- Academic > Mathematics > Tables
- Mathematics > Probability & Statistics
ISBNs
113924437X
9780521774765
9781139244374