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The Real Fatou Conjecture. (Am-144) more books like this

by Jacek Graczyk, Grzegorz Swiatek

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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 can be interpreted to mean that for a dense set ...

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