Hidden Bibliographic Details
ISBN: | 9781400865178 1400865174 9780691011530
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Notes: | Includes bibliographical references and index. In English. Print version record.
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Summary: | 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 quan.
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Other form: | Print version: McMullen, Curtis T. Renormalization and 3-manifolds which fiber over the circle. Princeton, New Jersey : Princeton University Press, ©1996 253 pages Annals of mathematics studies ; Number 142 9780691011530
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Standard no.: | 10.1515/9781400865178
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