دینامیک پیچیده: بیست و پنج سال پس از ظهور مجموعه ماندلبروت: مجموعه مقالات کنفرانس تابستانی مشترک AMS-IMS-SIAM در دینامیک پیچیده: بیست و پنج سال پس از ظهور مجموعه ماندلبروت، 13-17 ژوئن 2004، اسنوبرد

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. The present 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 Indecomposable Continua And The Julia Sets Of Rational Maps / Douglas K. Childers, John C. Mayer, H. Murat Tungali And E. D. Tymchatyn -- Henon Family : The Complex Horseshoe Locus And Real Parameter Space / Eric Bedford And John Smillie -- Baby Mandelbrot Sets Adorned With Halos In Families Of Rational Maps / Robert L. Devaney -- Blowup Points And Baby Mandelbrot Sets For Singularly Perturbed Rational Maps / Robert L. Devaney, Matt Holzer And David Uminsky -- Some Remarks On The Connectivity Of Julia Sets For 2-dimensional Diffeomorphisms / Romain Dujardin -- Rigorous Numerical Studies Of The Dynamics Of Polynomial Skew Products Of C[superscript 2] / Suzanne Lynch Hruska -- Accumulation Points Of Iterated Function Systems / Linda Keen And Nikola Lakic -- Parabolic Perturbation Of The Family [lambda] Tan Z / Linda Keen And Shenglan Yuan -- Polynomial Vector Fields, Dessins D'enfants, And Circle Packings / Kevin M. Pilgrim -- Siegel Disks Whose Boundaries Have Only Two Complementary Domains / James T. Rogers, Jr. -- Non-uniform Porosity For A Subset Of Some Julia Sets / Kimberly A. Roth -- Existence Of Conformal Measures For Some Transcendental Meromorphic Functions / Bartlomiej Skorulski -- Open Problems / Linda Keen. Robert L. Devaney, Linda Keen, Editors. Includes Bibliographical References. 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 Fatou, 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. The present 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. Based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, this book provides a panorama of research in complex dynamics.