Curtis T McMullen

(Author)

Renormalization and 3-Manifolds Which Fiber Over the Circle (Am-142), Volume 142Paperback, 28 July 1996

Renormalization and 3-Manifolds Which Fiber Over the Circle (Am-142), Volume 142
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Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies (Paperback)
Part of Series
Renormalization & 3-Manifolds Which Fiber Over the Circle
Part of Series
Annals of Mathematics Studies, 142
Print Length
253 pages
Language
English
Publisher
Princeton University Press
Date Published
28 Jul 1996
ISBN-10
0691011532
ISBN-13
9780691011530

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.

Product Details

Author:
Curtis T McMullen
Book Format:
Paperback
Country of Origin:
US
Date Published:
28 July 1996
Dimensions:
24.33 x 16.15 x 2.29 cm
ISBN-10:
0691011532
ISBN-13:
9780691011530
Language:
English
Location:
Princeton
Pages:
253
Weight:
553.38 gm

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