Graczyk / Swiatek The Real Fatou Conjecture. (AM-144), Volume 144

1. Auflage 2014
ISBN: 978-1-4008-6518-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 144, 148 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "The Real Fatou Conjecture. (AM-144), Volume 144".

Autoren/Hrsg.

Graczyk, Jacek

Swiatek, Grzegorz

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie

Inhaltsverzeichnis

1 Review of Concepts 3

1.1 Theory of Quadratic Polynomials 3

1.2 Dense Hyperbolicity 6

1.3 Steps of the Proof of Dense Hyperbolicity 12

2 Quasiconformal Gluing 25

2.1 Extendibility and Distortion 26

2.2 Saturated Maps 30

2.3 Gluing of Saturated Maps 35

3 Polynomial-Like Property 45

3.1 Domains in the Complex Plane 45

3.2 Cutting Times 47

4 Linear Growth of Moduli 67

4.1 Box Maps and Separation Symbols 67

4.2 Conformal Roughness 87

4.3 Growth of the Separation Index 100

5 Quasiconformal Techniques 109

5.1 Initial Inducing 109

5.2 Quasiconformal Pull-back 120

5.3 Gluing Quasiconformal Maps 129

5.4 Regularity of Saturated Maps 133

5.5 Straightening Theorem 139

Bibliography 143

Index 147

Über Autor(innen)

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