The Real Fatou Conjecture. (AM-144), Volume 144 /

The Real Fatou Conjecture. (AM-144), Volume 144 / / Grzegorz Swiatek, Jacek Graczyk.

In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it c...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Graczyk, Jacek,
Swiatek, Grzegorz,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1999
Year of Publication:2014
Language:English
Series:Annals of Mathematics Studies ; 144
Online Access:
Physical Description:1 online resource (148 p.) :; 8 illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Chapter 1. Review of Concepts
  • Chapter 2. Quasiconformal Gluing
  • Chapter 3. Polynomial-Like Property
  • Chapter 4. Linear Growth of Moduli
  • Chapter 5. Quasi conformal Techniques
  • Bibliography
  • Index

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