Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 PDF
by Curtis T. McMullen
Part of the Annals of Mathematics Studies series
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Description
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.
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- Format:PDF
- Pages:253 pages
- Publisher:Princeton University Press
- Publication Date:08/09/2014
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- ISBN:9781400865178
Other Formats
- Paperback / softback from £56.56
Information
-
Download Now
- Format:PDF
- Pages:253 pages
- Publisher:Princeton University Press
- Publication Date:08/09/2014
- Category:
- ISBN:9781400865178
