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Complex dynamics : twenty-five years after the appearance of the Mandelbrot set : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics : Twenty-five Years after the Appearance of the Mandelbrot Set, June 13-17, 2004, Snowbird, Utah / Robert L. Devaney, Linda Keen, editors.
Contemporary Mathematics Backfile (1980-2011) Available online
Contemporary Mathematics Backfile (1980-2011)- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics: Twenty-five Years after the Appearance of the Mandelbrot Set, Corporate Author.
- Conference Name:
- AMS-IMS-SIAM Joint Summer Research Conference on Complex Dynamics: Twenty-five Years after the Appearance of the Mandelbrot Set (2004 : Snowbird, Utah), issuing body.
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 396.
- Contemporary mathematics, 0271-4132 ; 396
- Language:
- English
- Subjects (All):
- Mandelbrot sets--Congresses.
- Mandelbrot sets.
- Dynamics--Congresses.
- Dynamics.
- System theory--Congresses.
- System theory.
- Mappings (Mathematics)--Congresses.
- Mappings (Mathematics).
- Domains of holomorphy--Congresses.
- Domains of holomorphy.
- Polynomials--Congresses.
- Polynomials.
- Numbers, Complex--Congresses.
- Numbers, Complex.
- Physical Description:
- 1 online resource (218 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2006]
- Language Note:
- English
- Summary:
- Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. Thepresent volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics
- Contents:
- ""Polynomial vector fields, dessins d'enfants, and circle packings""""Siegel disks whose boundaries have only two complementary domains""; ""Non-uniform porosity for a subset of some Julia sets""; ""The existence of conformal measures for some transcendental meromorphic functions""; ""Open problems""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7986-3
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