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The Real Fatou Conjecture. (AM-144)
Jacek Graczyk & Grzegorz Swiatek

Book Description

TABLE OF CONTENTS:

1Review of Concepts3
1.1Theory of Quadratic Polynomials3
1.2Dense Hyperbolicity6
1.3Steps of the Proof of Dense Hyperbolicity12
2Quasiconformal Gluing25
2.1Extendibility and Distortion26
2.2Saturated Maps30
2.3Gluing of Saturated Maps35
3Polynomial-Like Property45
3.1Domains in the Complex Plane45
3.2Cutting Times47
4Linear Growth of Moduli67
4.1Box Maps and Separation Symbols67
4.2Conformal Roughness87
4.3Growth of the Separation Index100
5Quasiconformal Techniques109
5.1Initial Inducing109
5.2Quasiconformal Pull-back120
5.3Gluing Quasiconformal Maps129
5.4Regularity of Saturated Maps133
5.5Straightening Theorem139
Bibliography143
Index147

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File created: 7/11/2014

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