The real Fatou conjecture / by Jacek Graczyk and Grzegorz Świa̧tek.

The real Fatou conjecture /

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
Main Authors: Graczyk, Jacek, Świa̧tek, Grzegorz, 1964- (Author)
Format: eBook
Published: Princeton, N.J. : Princeton University Press, 1998.
Series:Annals of mathematics studies ; no. 144.
Online Access:Click for online access