Complex Dynamics - Families and Friends

Zusatztext The current volume is a collection of seventeen research articles! all of a very high standard. ? give insight into the human side of Hubbard. The quality of the editing is superb! making this volume an absolute pleasure to read.-Sebastian van Strien! Nieuw Archief voor Wiskunde! June 2012In 2005 John Hamal Hubbard celebrated his sixtieth birthday. His families and friends organised a conference in his honour for him! for themselves! and for the mathematical community! especially those with an interest in complex dynamics in any shape or form. ? [this volume] serves as a memento for the conference and much more. ? For nearly thirty years! the preprint produced by Bill Thurston has been repeatedly photocopied (and! more recently! scanned). Here! it has been faithfully reproduced with discreet! but occasionally significant! well-judged editing by Dierk Schleicher and Nikita Selinger. Schleicher has also provided a crucial missing section: what he reckons would have been Thurston's II.7. This spells out the way in which the quadratic laminations determine the topological dynamics on the corresponding Julia set in the cases when the Julia set is locally connected. ? Thus! the first article of the book is the first full print version of a monograph that has been in existence since the early days ? The illustrations are not only beautiful but also an important reminder of the role that pictures play in research in this field! and in the work of Hubbard and his students and co-workers in particular.-Mary Rees! The Mathematical Intelligencer! 2011 Informationen zum Autor Dierk Schleicher is a professor of mathematics at Jacobs University in Bremen, Germany. Klappentext This collection, with 17 carefully selected contributions on the field of complex dynamics and adjacent fields, helps people get an overview of the active field of complex dynamics in its current scope. There are chapters that contain an introduction to complex dynamics that help introduce novices to the field, especially graduate students; some chapters, written by pioneers in the field (Thurston, Milnor, Shishikura) contain classical manuscripts that have influenced the field for more than two decades; several chapters contain original research publications that bring readers to the current frontier of research. The book is organized in four parts, according to different research areas within complex dynamics: polynomial dynamics, rational and transcendental dynamics, several complex dimensions, and "making new friends" with chapters that are more exploratory or link to adjacent areas. Zusammenfassung 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. Inhaltsverzeichnis 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...

Summary

A collection of contributions on the field of complex dynamics and adjacent fields. It helps people get an overview of the active field of complex dynamics. It is organized in four parts: polynomial dynamics, rational and transcendental dynamics, several complex dimensions, and 'making new friends'.

Product details

• Assisted by: Dierk Schleicher (Editor), Schleicher Dierk (Editor)
• Publisher: Peters A K
• Languages: English
• Product format: Hardback
• Released: 31.01.2009
• EAN: 9781568814506
• ISBN: 978-1-56881-450-6
• No. of pages: 600
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis