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Chapter 6. Polynomials and external rays
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Curtis T. McMullen
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Chapters in this book
- Frontmatter i
- Contents v
- Chapter 1. Introduction 1
- Chapter 2. Background in conformal geometry 9
- Chapter 3. Dynamics of rational maps 35
- Chapter 4. Holomorphic motions and the Mandelbrot set 53
- Chapter 5. Compactness in holomorphic dynamics 65
- Chapter 6. Polynomials and external rays 83
- Chapter 7. Renormalization 97
- Chapter 8. Puzzles and infinite renormalization 121
- Chapter 9. Robustness 135
- Chapter 10. Limits of renormalization 141
- Chapter 11. Real quadratic polynomials 167
- Appendix A. Orbifolds 177
- Appendix B. A closing lemma for rational maps 187
- Bibliography 207
- Index 213
Chapters in this book
- Frontmatter i
- Contents v
- Chapter 1. Introduction 1
- Chapter 2. Background in conformal geometry 9
- Chapter 3. Dynamics of rational maps 35
- Chapter 4. Holomorphic motions and the Mandelbrot set 53
- Chapter 5. Compactness in holomorphic dynamics 65
- Chapter 6. Polynomials and external rays 83
- Chapter 7. Renormalization 97
- Chapter 8. Puzzles and infinite renormalization 121
- Chapter 9. Robustness 135
- Chapter 10. Limits of renormalization 141
- Chapter 11. Real quadratic polynomials 167
- Appendix A. Orbifolds 177
- Appendix B. A closing lemma for rational maps 187
- Bibliography 207
- Index 213