Complex Dynamics

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advanced complex dynamical systems research
Backward Orbit
bifurcation analysis
Cantor Set
Category=PBK
combinatorial topology
component
Connected Component
Connectedness Locus
critical
Critical Orbits
dynamical systems theory
entropy in mathematics
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
External Rays
Fatou Component
Fatou Set
Forward Image
Forward Orbit
Herman Ring
holomorphic dynamics
Holomorphic Function
hyperbolic
Hyperbolic Component
julia
Julia Set
mandelbrot
Mandelbrot Set
maps
periodic
Periodic Point
point
Pullback Map
Quasiconformal Homeomorphism
Quasiconformal Map
rational
Rational Map
Rays Landing
Riemann Surface
Rotation Number
set
Siegel Disk
Simple Closed Curves
Teichmuller theory

Product details

  • ISBN 9781568814506
  • Weight: 952g
  • Dimensions: 152 x 229mm
  • Publication Date: 03 Nov 2009
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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.

Dierk Schleicher is a professor of mathematics at Jacobs University in Bremen, Germany.