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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 by Curtis T. McMullen
Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 by Curtis T. McMullen
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Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142

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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.

Author Biography:

Curtis T. McMullen is Professor of Mathematics at the University of California, Berkeley.
Release date NZ
July 28th, 1996
Audiences
  • Professional & Vocational
  • Tertiary Education (US: College)
Pages
253
Dimensions
152x229x14
ISBN-13
9780691011530
Product ID
6004241

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