Chapter 4. Holomorphic motions and the Mandelbrot set

Chapters in this book

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