The Real Fatou Conjecture

Jacek Graczyk, Grzegorz Swiatek (Autoren)

Buch | Hardcover

148 Seiten

1998
Princeton University Press (Verlag)
9780691002576 (ISBN)

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A self-contained and complete version of the argument known as the Fatou Conjecture designed for those with no knowledge of complex dynamics and only a basic familiarity with interval maps. The title is number 144 in the ANNALS OF MATHEMATICS series and is suitable for specialists in real dynamics and graduates.

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.

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

Reihe/Serie	Annals of Mathematics Studies
Zusatzinfo	8 illus.
Verlagsort	New Jersey
Sprache	englisch
Maße	197 x 254 mm
Gewicht	397 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-13	9780691002576 / 9780691002576
Zustand	Neuware