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The Real Fatou Conjecture
The Real Fatou Conjecture
Author: Jacek Graczyk, Grzegorz Swiatek
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 ...  more »
ISBN-13: 9780691002583
ISBN-10: 0691002584
Publication Date: 10/5/1998
Pages: 148
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Publisher: Princeton University Press
Book Type: Paperback
Other Versions: Hardcover
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