Complex Dynamics
Families and Friends
1st Edition
Published on 23. October 2019
Book
Paperback/Softback
663 pages
978-0-367-38494-4 (ISBN)
Description
Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published before but have influenced the field for more than two decades. Other chapters contain fresh, original work and bring readers to the current frontier of research. The title reflects the fruitful interplay between diverse mathematical fields bound together by the common theme of complex dynamics, including hyperbolic geometry, number theory, group theory, combinatorics, general dynamics, and many more. At the same time, the title alludes to the spirit of mathematical friendship among the researchers in this area. This book is a tribute to John Hubbard, one of the most inspiring pioneers in the field of complex dynamics.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional Practice & Development
Dimensions
Height: 229 mm
Width: 152 mm
Weight
1230 gr
ISBN-13
978-0-367-38494-4 (9780367384944)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
11/2009
CRC Press
€89.99
Available for download
E-Book
11/2009
1st Edition
CRC Press
€89.99
Available for download
Book
11/2009
1st Edition
A K Peters
€257.50
Shipment within 3-4 weeks
Person
Dierk Schleicher is a professor of mathematics at Jacobs University in Bremen, Germany.
Content
Polynomial Dynamics from Combinatorics to Topology. On the Geometry and Dynamics of Iterated Rational Maps. Appendix: Laminations, Julia Sets, and the Mandelbrot Set. Wandering Gaps for Weakly Hyperbolic Polynomials. Combinatorics of Polynomial Iterations. The Unicritical Branner-Hubbard Conjecture. A Priori Bounds for Some Infinitely Renormalizable Quadratics, III: Molecules. Beyond Polynomials: Rational and Transcendental Dynamics. The Connectivity of the Julia Set and Fixed Points. The Rabbit and Other Julia Sets Wrapped in Sierpinski Carpets. The Teichmuller Space of an Entire Function. Two Complex Dimensions. Cubic Polynomial Maps with Periodic Critical Orbit, Part I. Analytic Coordinates Recording Cubic Dynamics. Cubic Polynomials: A Measurable View of Parameter Space. Bifurcation Measure and Postcritically Finite Rational Maps. Real Dynamics of a Family of Plane Birational Maps: Trapping Regions and Entropy Zero. Making New Friends. The Hunt for Julia Sets with Positive Measure. On Thurston's Pullback Map. On the Boundary Behavior of Thurston's Pullback Map. Computing Arithmetic Invariants for Hyperbolic Reflection Groups.