دینامیک همسان و هندسه هایپر بولیک: کنفرانس دینامیک همسان و هندسه هایپر بولیک به افتخار هفتادمین سالگرد تولد لیندا کین، مرکز دانشگاهی و تحصیلات تکمیلی CUNY، نیویورک، 21 تا 23 اکتبر 2010

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 Teichmüller theory, the geometry of Fuchsian and Kleinian groups, domain convergence properties for the Poincaré 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. Normal Families And Holomorphic Motions Over Infinite Dimensional Parameter Spaces / Michael Beck, Yunping Jiang And Sudeb Mitra -- Elementary Moves And The Modular Group Of The Compact Solenoid / Reza Chamanara And Dragomir Šarić -- Combinatorics And Topology Of The Shift Locus / Laura Demarco -- Dynamics Of Zn̂ + \lambda /zn̂ ; Why The Case N = 2 Is Crazy / Robert L. Devaney -- On Holomorphic Families Of Riemann Surfaces / Clifford J. Earle And Albert Marden -- Circle Endomorphisms, Dual Circles And Thompson's Group / Frederick P. Gardiner And Yunping Jiang -- Rational Maps With Half Symmetries, Julia Sets, And Multibrot Sets In Parameter Planes / Jun Hu, Francisco G. Jimenez And Oleg Muzician -- The Rate Of Convergence Of The Hyperbolic Density On Sequences Of Domains / Nikola Lakic And Greg Markowsky -- The Asymptotic Directions Of Pleating Rays In The Maskit Embedding. / Sara Maloni -- Hyperbolic Components / John Milnor -- On Barycenter Entropy For Rational Maps / Christian Wolf -- Parameter Plane Of A Family Of Meromorphic Functions With Two Asymptotic Values / Shenglan Yuan. Francis Bonahon ... [et Al.], Editors. Includes Bibliographical References.