London Mathematical Society Lecture Note SeriesSeries Number 274 The Mandelbrot Set, Theme and Variations

Name: London Mathematical Society Lecture Note SeriesSeries Number 274 The Mandelbrot Set, Theme and Variations
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Bol This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents important results in complex dynamics hitherto unpublished or difficult to find in the literature. For graduates and researchers in dynamical systems, Kleinian groups or related subjects. 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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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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This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents important results in complex dynamics hitherto unpublished or difficult to find in the literature. For graduates and researchers in dynamical systems, Kleinian groups or related subjects. 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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature.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.

Lees meer