Mathematical tools for one-dimensional dynamics / Edson de Faria, Welington de Melo.

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Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, whi...

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Bibliographic Details
Main Authors: Faria, Edson de (Author)
Melo, Welington de (Author)
Language:English
Published: Cambridge : Cambridge University Press, 2008.
Series:Cambridge studies in advanced mathematics ; 115.
Subjects:
Dynamics.
Teichmüller spaces.
Riemann surfaces.
Holomorphic functions.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (vi, 191 pages) : digital, PDF file(s).
Format: Electronic eBook
Contents:
  • Preliminaries in complex analysis
  • Uniformization and conformal distortion
  • The measurable Riemann mapping theorem
  • Holomorphic motions
  • Schwarzian derivative and cross-ratio distortion
  • App. Riemann surfaces and Teichmuller spaces.