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Dynamics on the Riemann Sphere [electronic resource] : A Bodil Branner Festschrift / Poul G. Hjorth, Carsten Lunde Petersen

Contributor(s): Material type: TextTextPublisher: Zuerich, Switzerland : European Mathematical Society Publishing House, 2006Description: 1 online resource (226 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783037195116
Subject(s): Other classification:
  • 37-xx
Online resources:
Contents:
On Lattès Maps / John Milnor -- Branner–Hubbard motions and attracting dynamics / Tan Lei, Carsten Lunde Petersen -- Examples of Feigenbaum Julia sets with small Hausdorff dimension / Artur Avila, Mikhail Lyubich -- Parabolic explosion and the size of Siegel disks in the quadratic family / Arnaud Cheritat -- Sierpinski Carpets and Gaskets as Julia sets of Rational Maps / Paul Blanchard, Robert L. Devaney, Daniel M. Look, Monica Moreno Rocha, Pradipta Seal, Stefan Siegmund, David Uminsky -- On capture zones for the family fλ(z) = z2 + λ/z2 / P. Roesch -- Semiconjugacies between the Julia sets of geometrically finite rational maps II / Tomoki Kawahira -- Homeomorphisms of the Mandelbrot Set / Wolf Jung -- Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family / Núria Fagella, Christian Henriksen -- Stretching rays and their accumulations, following Pia Willumsen / Tan Lei -- Conjectures about the Branner–Hubbard motion of Cantor sets in C / Adrien Douady.
Summary: 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. Contributors include Artur Avila (Paris VI, France), Arnault Chéritat (Toulouse, France), Robert L. Devaney (Boston, USA), Adrien Douady (Orsay, France), Nuria Fagella (Barcelona, Spain), Christian Henriksen (Lyngby, Denmark), Wolf Jung (Aachen, Germany), Tomoki Kawahira (Kyoto, Japan), Tan Lei (Cergy Pontoise, France), Mikhail Lyubich (Stony Brook, USA), Carsten Lunde Petersen (Roskilde, Denmark), John Milnor (Stony Brook, USA), Pascale Roesch (Lille, France).
Item type: E-BOOKS
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On Lattès Maps / John Milnor -- Branner–Hubbard motions and attracting dynamics / Tan Lei, Carsten Lunde Petersen -- Examples of Feigenbaum Julia sets with small Hausdorff dimension / Artur Avila, Mikhail Lyubich -- Parabolic explosion and the size of Siegel disks in the quadratic family / Arnaud Cheritat -- Sierpinski Carpets and Gaskets as Julia sets of Rational Maps / Paul Blanchard, Robert L. Devaney, Daniel M. Look, Monica Moreno Rocha, Pradipta Seal, Stefan Siegmund, David Uminsky -- On capture zones for the family fλ(z) = z2 + λ/z2 / P. Roesch -- Semiconjugacies between the Julia sets of geometrically finite rational maps II / Tomoki Kawahira -- Homeomorphisms of the Mandelbrot Set / Wolf Jung -- Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family / Núria Fagella, Christian Henriksen -- Stretching rays and their accumulations, following Pia Willumsen / Tan Lei -- Conjectures about the Branner–Hubbard motion of Cantor sets in C / Adrien Douady.

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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. Contributors include Artur Avila (Paris VI, France), Arnault Chéritat (Toulouse, France), Robert L. Devaney (Boston, USA), Adrien Douady (Orsay, France), Nuria Fagella (Barcelona, Spain), Christian Henriksen (Lyngby, Denmark), Wolf Jung (Aachen, Germany), Tomoki Kawahira (Kyoto, Japan), Tan Lei (Cergy Pontoise, France), Mikhail Lyubich (Stony Brook, USA), Carsten Lunde Petersen (Roskilde, Denmark), John Milnor (Stony Brook, USA), Pascale Roesch (Lille, France).

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