Renormalization and 3-Manifolds Which Fiber over the Circle - Curtis T. McMullen (1996)
ISBN 0691011540
Subject Differentiable dynamical systems; Three-manifolds (Topology)
Publisher Princeton University Press
Publication Date 7/22/1996
Format Hardcover (243 x 161 mm)
Language e
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.

Personal Details
Collection Status In Collection
Index 817
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA613 .M42 1996
Dewey 514/.3
Cover Price $95.00
No. of Pages 253