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Renormalization and 3-Manifolds Which Fiber over the Circle PDF

253 Pages·1996·8.333 MB·English
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by Curtis T. McMullen| 1996| 253 pages| 8.333| English

About Renormalization and 3-Manifolds Which Fiber over the Circle

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.

Detailed Information

Author:Curtis T. McMullen
Publication Year:1996
ISBN:9780691011530
Pages:253
Language:English
File Size:8.333
Format:PDF
Price:FREE
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