A characterization of hyperbolic rational maps
Abstract We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston’s characterization of postcritically finite rational maps. In place of iteration on Teichmüller space, we use quasiconformal surgery and Thurston’s original result.
Gespeichert in:
| Autor*in: |
Cui, Guizhen [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2010 |
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| Schlagwörter: |
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| Systematik: |
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| Anmerkung: |
© Springer-Verlag 2010 |
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| Übergeordnetes Werk: |
Enthalten in: Inventiones mathematicae - Springer-Verlag, 1966, 183(2010), 3 vom: 18. Sept., Seite 451-516 |
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| Übergeordnetes Werk: |
volume:183 ; year:2010 ; number:3 ; day:18 ; month:09 ; pages:451-516 |
| Links: |
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| DOI / URN: |
10.1007/s00222-010-0281-8 |
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OLC2050923244 |
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A characterization of hyperbolic rational maps |
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Cui, Guizhen Tan, Lei |
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a characterization of hyperbolic rational maps |
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A characterization of hyperbolic rational maps |
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Abstract We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston’s characterization of postcritically finite rational maps. In place of iteration on Teichmüller space, we use quasiconformal surgery and Thurston’s original result. © Springer-Verlag 2010 |
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Abstract We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston’s characterization of postcritically finite rational maps. In place of iteration on Teichmüller space, we use quasiconformal surgery and Thurston’s original result. © Springer-Verlag 2010 |
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Abstract We give a topological characterization of rational maps with disconnected Julia sets. Our results extend Thurston’s characterization of postcritically finite rational maps. In place of iteration on Teichmüller space, we use quasiconformal surgery and Thurston’s original result. © Springer-Verlag 2010 |
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