Renormalization and 3-Manifolds Which Fiber Over the Circle
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| Title: | Renormalization and 3-Manifolds Which Fiber Over the Circle |
|---|---|
| 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. |
| Authors: | Curtis T. McMullen |
| Resource Type: | eBook. |
| Subjects: | Three-manifolds (Topology), Differentiable dynamical systems |
| Categories: | MATHEMATICS / Geometry / Analytic |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Renormalization and 3-Manifolds Which Fiber Over the Circle – Name: Abstract Label: Description Group: Ab Data: 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. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Curtis+T%2E+McMullen%22">Curtis T. McMullen</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Three-manifolds+%28Topology%29%22">Three-manifolds (Topology)</searchLink><br /><searchLink fieldCode="DE" term="%22Differentiable+dynamical+systems%22">Differentiable dynamical systems</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Analytic%22">MATHEMATICS / Geometry / Analytic</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 514.3 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Three-manifolds (Topology) Type: general – SubjectFull: Differentiable dynamical systems Type: general Titles: – TitleFull: Renormalization and 3-Manifolds Which Fiber Over the Circle Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Curtis T. McMullen – PersonEntity: Name: NameFull: Curtis T. McMullen IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2014 – D: 25 M: 09 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780691011530 – Type: isbn-print Value: 9780691011547 – Type: isbn-electronic Value: 9781400865178 Numbering: – Type: volume Value: 00142 Titles: – TitleFull: Renormalization and 3-Manifolds Which Fiber Over the Circle Type: main |
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