Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 / / Curtis T. McMullen.
Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the ci...
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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, , [2014] ©1996 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
142 |
| Online Access: | |
| Physical Description: | 1 online resource (253 p.) |
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Table of Contents:
- Frontmatter
- Contents
- 1 Introduction
- 2 Rigidity of hyperbolic manifolds
- 3 Three-manifolds which fiber over the circle
- 4 Quadratic maps and renormalization
- 5 Towers
- 6 Rigidity of towers
- 7 Fixed points of renormalization
- 8 Asymptotic structure in the Julia set
- 9 Geometric limits in dynamics
- 10 Conclusion
- Appendix A. Quasiconformal maps and flows
- Appendix B Visual extension
- Bibliography
- Index