Conformal dynamics and hyperbolic geometry : conference on conformal dynamics and hyperbolic geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY, New York, NY, October 21-23, 2010
著者
書誌事項
Conformal dynamics and hyperbolic geometry : conference on conformal dynamics and hyperbolic geometry in honor of Linda Keen's 70th birthday, Graduate School and University Center of CUNY, New York, NY, October 21-23, 2010
（Contemporary mathematics, 573）
American Mathematical Society, c2012
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注記
Other editors: Robert L. Devaney, Frederick P. Gardiner, Dragomir Šarić
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the Conference on Conformal Dynamics and Hyperbolic Geometry, held October 21-23, 2010, in honor of Linda Keen's 70th birthday. This volume provides a valuable introduction to problems in conformal and hyperbolic geometry and one dimensional, conformal dynamics. It includes a classic expository article by John Milnor on the structure of hyperbolic components of the parameter space for dynamical systems arising from the iteration of polynomial maps in the complex plane. In addition there are foundational results concerning Teichmuller theory, the geometry of Fuchsian and Kleinian groups, domain convergence properties for the Poincare metric, elaboration of the theory of the universal solenoid, the geometry of dynamical systems acting on a circle, and realization of Thompson's group as a mapping class group for a uniformly asymptotically affine circle endomorphism. The portion of the volume dealing with complex dynamics will appeal to a diverse group of mathematicians. Recently many researchers working in a wide range of topics, including topology, algebraic geometry, complex analysis, and dynamical systems, have become involved in aspects of this field.
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