Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen.
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely reno...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1995 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
135 |
| Online Access: | |
| Physical Description: | 1 online resource (214 p.) :; 31 line drawings |
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Table of Contents:
- Frontmatter
- Contents
- Chapter 1. Introduction
- Chapter 2. Background in conformal geometry
- Chapter 3. Dynamics of rational maps
- Chapter 4. Holomorphic motions and the Mandelbrot set
- Chapter 5. Compactness in holomorphic dynamics
- Chapter 6. Polynomials and external rays
- Chapter 7. Renormalization
- Chapter 8. Puzzles and infinite renormalization
- Chapter 9. Robustness
- Chapter 10. Limits of renormalization
- Chapter 11. Real quadratic polynomials
- Appendix A. Orbifolds
- Appendix B. A closing lemma for rational maps
- Bibliography
- Index