Bodil Branner

DTU.

Steen Markvorsen

Danmarks Tekniske Universitet. Institut for Matematik

Technical University of Denmark

An Interview with Professor Vagn Lundsgaard Hansen

Interview with Vagn Lundsgaard Hansen

Poul Hjorth

Carsten Lunde Petersen

Dynamics on the Riemann Sphere presents a collection of original research articles by leading experts in the area of holomorphic dynamics. These papers arose from the symposium Dynamics in the Complex Plane, held on the occasion of the 60th birthday of Bodil Branner. Topics covered range from Lattes maps to cubic polynomials over rational maps with Sierpinsky Carpets and Gaskets as Julia sets, as well as rational and entire transcendental maps with Herman rings.

A Bodil Branner Festschrift

Dynamics on the Riemann Sphere

Núria Fagella

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics. Contains a wide variety of applications and illustrations.

Quasiconformal Surgery in Holomorphic Dynamics

Robert L. Devaney

In the last fifteen years, the Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled 'Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets', held at the Joint Mathematics Meetings in Cincinnati in January 1994.The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.

The Mathematics Behind the Mandelbrot and Julia Sets

Complex Dynamical Systems

Bodil Branner

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