Renormalization and 3-manifolds which fber over the circle:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[1996]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 142 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1515/9781400865178?locatt=mode:legacy |
| Beschreibung: | 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 |
| Umfang: | 1 Online-Ressource (253p.) |
| ISBN: | 9781400865178 |
| DOI: | 10.1515/9781400865178 |
Internformat
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| 245 | 1 | 0 | |a Renormalization and 3-manifolds which fber over the circle |c Curtis T. McMullen |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c [1996] | |
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| 490 | 1 | |a Annals of Mathematics Studies |v number 142 | |
| 500 | |a 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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| 650 | 4 | |a Differentiable dynamical systems | |
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| 650 | 7 | |a MATHEMATICS / Geometry / Analytic |2 bisacsh | |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042524174 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:13:32Z |
| institution | BVB |
| isbn | 9781400865178 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027958513 |
| oclc_num | 891400016 |
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| owner | DE-83 |
| owner_facet | DE-83 |
| physical | 1 Online-Ressource (253p.) |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | McMullen, Curtis T. 1958- (DE-588)172849853 aut Renormalization and 3-manifolds which fber over the circle Curtis T. McMullen Princeton, N.J. Princeton University Press [1996] © 1996 1 Online-Ressource (253p.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 142 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 In English Mathematik Three-manifolds (Topology) Differentiable dynamical systems MATHEMATICS / Topology MATHEMATICS / Geometry / Analytic bisacsh Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Dimension 3 (DE-588)4321722-9 gnd rswk-swf Renormierung (DE-588)4128419-7 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s Renormierung (DE-588)4128419-7 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-691-01153-0 Annals of Mathematics Studies number 142 (DE-604)BV040389493 142 https://doi.org/10.1515/9781400865178?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | McMullen, Curtis T. 1958- Renormalization and 3-manifolds which fber over the circle Annals of Mathematics Studies Mathematik Three-manifolds (Topology) Differentiable dynamical systems MATHEMATICS / Topology MATHEMATICS / Geometry / Analytic bisacsh Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 3 (DE-588)4321722-9 gnd Renormierung (DE-588)4128419-7 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4321722-9 (DE-588)4128419-7 |
| title | Renormalization and 3-manifolds which fber over the circle |
| title_auth | Renormalization and 3-manifolds which fber over the circle |
| title_exact_search | Renormalization and 3-manifolds which fber over the circle |
| title_full | Renormalization and 3-manifolds which fber over the circle Curtis T. McMullen |
| title_fullStr | Renormalization and 3-manifolds which fber over the circle Curtis T. McMullen |
| title_full_unstemmed | Renormalization and 3-manifolds which fber over the circle Curtis T. McMullen |
| title_short | Renormalization and 3-manifolds which fber over the circle |
| title_sort | renormalization and 3 manifolds which fber over the circle |
| topic | Mathematik Three-manifolds (Topology) Differentiable dynamical systems MATHEMATICS / Topology MATHEMATICS / Geometry / Analytic bisacsh Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 3 (DE-588)4321722-9 gnd Renormierung (DE-588)4128419-7 gnd |
| topic_facet | Mathematik Three-manifolds (Topology) Differentiable dynamical systems MATHEMATICS / Topology MATHEMATICS / Geometry / Analytic Mannigfaltigkeit Dimension 3 Renormierung |
| url | https://doi.org/10.1515/9781400865178?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT mcmullencurtist renormalizationand3manifoldswhichfberoverthecircle |