2006; 240 pp; hardcover ISBN10: 3037190116 ISBN13: 9783037190111 List Price: US$79 Member Price: US$63.20 Order Code: EMSDRS
 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 Lattès 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 publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society. Readership Graduate students and research mathematicians interested in Riemann sphere. Table of Contents  J. Milnor  On Lattès maps
 C. L. Petersen and T. Lei  BrannerHubbard motions and attracting dynamics
 A. Avila and M. Lyubich  Examples of Feigenbaum Julia sets with small Hausdorff dimension
 A. Chéritat  Parabolic explosion and the size of Siegel disks in the quadratic family
 P. Blanchard, R. L. Devaney, D. M. Look, M. Rocha, P. Seal, S. Siegmund, and D. Uminsky  Sierpinski carpets and gaskets as Julia sets of rational maps
 P. Roesch  On capture zones for the family \(f(z)= z^{2} + \lambda /z^{2}\)
 T. Kawahira  Semiconjugacies between the Julia sets of geometrically finite rational maps II
 W. Jung  Homeomorphisms of the Mandelbrot set
 N. Fagella and C. Henriksen  Arnold disks and the moduli of Herman rings of the complex standard family
 T. Lei  Stretching rays and their accumulations, following Pia Willumsen
 A. Douady  Conjectures about the BrannerHubbard motion of Cantor sets in C
