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(Paperback)
By: Jacek Graczyk
ISBN: 9780691002583
Readership/Audience: Professional and Scholarly
Publication Date: Jan 1999
Publisher: Princeton University Press
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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 book provides a proof of the Real Fatou Conjecture. It includes a self-contained and complete version of the argument.
