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 circle.
Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization.
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 circle.
Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quantitative proof of convergence of renormalization.
Renormalization and 3-Manifolds Which Fiber over the Circle
253
Renormalization and 3-Manifolds Which Fiber over the Circle
253Related collections and offers
Product Details
| ISBN-13: | 9781400865178 |
|---|---|
| Publisher: | Princeton University Press |
| Publication date: | 09/08/2014 |
| Series: | Annals of Mathematics Studies , #142 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 253 |
| File size: | 15 MB |
| Note: | This product may take a few minutes to download. |