The Real Fatou Conjecture (Annals of Mathematics Studies, 144) - Hardcover

Book 45 of 202: Annals of Mathematics Studies

Graczyk, Jacek

 
9780691002576: The Real Fatou Conjecture (Annals of Mathematics Studies, 144)

Synopsis

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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About the Author

Jacek Graczyk is Assistant Professor of Mathematics at Michigan State University. Grzegorz Swiatek is Associate Professor of Mathematics at Pennsylvania State University.

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Other Popular Editions of the Same Title

9780691002583: The Real Fatou Conjecture: 144 (Annals of Mathematics Studies, 144)

Featured Edition

ISBN 10:  0691002584 ISBN 13:  9780691002583
Publisher: Princeton University Press, 1998
Softcover