Complex Dynamics: Families and Friends 1st Edition by Dierk Schleicher (PDF)

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.

User’s Reviews

Editorial Reviews: Review 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 About the Author Dierk Schleicher is a professor of mathematics at Jacobs University in Bremen, Germany.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It a nice book, a beautiful recopilation de complexe Dynamics. Although it is not my strong subject ,I enjoyed this book since the first page.

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