[share_ebook] Renormalization and 3-Manifolds Which Fiber over the Circle by Curtis T. McMullen - Curtis T. McMullen


Author: Curtis T. McMullen

Date: 1996

Pages: 253

Publisher: Princeton University Press

Category: Uncategorized


Posted on 2012-01-27, by 4bookholic.

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Renormalization and 3-Manifolds Which Fiber over the Circle by Curtis T. McMullen


Renormalization and 3-Manifolds Which Fiber over the Circle by Curtis T. McMullen
Curtis T. McMullen | Princeton University Press | 1996 | 253 pages | English | PDF

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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