182645237Title: The Real Fatou Conjecture (Annals of Mathematics Studies) Recommended Retail Price : 22.95 Our Price : 4.19 You Save : 18.76 (82% discount) ISBN : 0691002584 Author : Jacek Graczyk Grzegorz Swi
Title: The Real Fatou Conjecture (Annals of Mathematics Studies)
Jacek Graczyk Grzegorz Swiatek
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 conjecture rematins the main open problem in the dynamics of iterated maps. This volume provides a rigorous proof of the Real Fatou Conjecture. In spite of the apparently elementary nature of the problem, its solution requires advanced tools of complex analysis.
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