The Mandelbrot Set, Theme and Variations PDF

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AUTEUR: Tan Lei

TAILLE DU FICHIER: 5,93 MB

NOM DE FICHIER: The Mandelbrot Set, Theme and Variations.pdf

ISBN: 9780521774765

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 prescrits 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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as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.

INFORMATION

AUTEUR: Tan Lei

TAILLE DU FICHIER: 5,11 MB

NOM DE FICHIER: The Mandelbrot Set, Theme and Variations.pdf

ISBN: 9780521774765

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A zoom in a tiny region of the Mandelbrot set which explores various variations on a single motive. Music is from Bach's Aria Variata, courtesy of www.musope...

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