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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