The Real Fatou Conjecture. (AM-144), Volume 144
(Paperback)
Publishing Details
The Real Fatou Conjecture. (AM-144), Volume 144
By (Author) Jacek Graczyk
By (author) Grzegorz Swiatek
Princeton University Press
Princeton University Press
4th January 1999
United States
Classifications
Professional and Scholarly
Non Fiction
515.43
Physical Properties
Paperback
148
Width 197mm, Height 254mm
227g
Description
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 rematins the main open problem in the dynamics of iterated maps. This volume provides a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis.
Author Bio
Jacek Graczyk is Assistant Professor of Mathematics at Michigan State University. Grzegorz Swiatek is Associate Professor of Mathematics at Pennsylvania State University.
