Renormalization and 3-Manifolds Which Fiber over the Circle




E-Book Name Title for Download :Renormalization and 3-Manifolds Which Fiber over the Circle (Format : djvu)

Plot : 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 fixedpoints 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 quadraticlike maps, and leads to a quantitative proof of convergence of renormalization.



Author(s) Book :Curtis T. McMullen
E-Book Categories :
Publish Year :1996 Publisher : Princeton University Press
You can check by ISBN10: 0691011532; ISBN13: 9780691011530
Pages :253

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