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 2006; 240 pp; hardcover ISBN-10: 3-03719-011-6 ISBN-13: 978-3-03719-011-1 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 -- Branner-Hubbard 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 Branner-Hubbard motion of Cantor sets in C