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The Real Fatou Conjecture. (AM-144), Volume 144 by Jacek Graczyk
The Real Fatou Conjecture. (AM-144), Volume 144 by Jacek Graczyk
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The Real Fatou Conjecture. (AM-144), Volume 144

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Description

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.

Author Biography:

Jacek Graczyk is Assistant Professor of Mathematics at Michigan State University. Grzegorz Swiatek is Associate Professor of Mathematics at Pennsylvania State University.
Release date NZ
October 25th, 1998
Audiences
  • Professional & Vocational
  • Tertiary Education (US: College)
Illustrations
8 illus.
Pages
148
Dimensions
152x229x8
ISBN-13
9780691002583
Product ID
7554526

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