The Real Fatou Conjecture. (Am-144), Volume 144

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In 1920, Perre 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 rigorous proof of the Real Fatou Conjecture--that in spite of the apparently elementary nature of a problem, its solution requires advanced tools of complex analysis.

The Real Fatou Conjecture. (Am-144), Volume 144 1998, Princeton University Press, Princeton, NJ

ISBN-13: 9780691002583

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