Synopses & Reviews
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: (i) polynomial dynamics, (ii) rational and transcendental dynamics, (iii) several complex dimensions, (iv) “making new friends” with chapters that are more exploratory or link to adjacent areas.
Synopsis
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.
Synopsis
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.