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Hyperbolicity of renormalization of critical circle maps
We settle the long-standing Hyperbolicity Conjecture for renormalization of critical circle maps, which implies universality. Our main tool is a new renormalization transformation, the cylinder renormalization, which can be extended to a complex-analytic operator on a Banach manifold of maps.
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| Lenguaje: | eng |
| Publicado: |
2000
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| Acceso en línea: | http://cds.cern.ch/record/456566 |
| _version_ | 1780896274038390784 |
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| author | Yampolsky, M |
| author_facet | Yampolsky, M |
| author_sort | Yampolsky, M |
| collection | CERN |
| description | We settle the long-standing Hyperbolicity Conjecture for renormalization of critical circle maps, which implies universality. Our main tool is a new renormalization transformation, the cylinder renormalization, which can be extended to a complex-analytic operator on a Banach manifold of maps. |
| id | cern-456566 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2000 |
| record_format | invenio |
| spelling | cern-4565662019-09-30T06:29:59Zhttp://cds.cern.ch/record/456566engYampolsky, MHyperbolicity of renormalization of critical circle mapsMathematical Physics and MathematicsWe settle the long-standing Hyperbolicity Conjecture for renormalization of critical circle maps, which implies universality. Our main tool is a new renormalization transformation, the cylinder renormalization, which can be extended to a complex-analytic operator on a Banach manifold of maps.IHES-M-2000-50oai:cds.cern.ch:4565662000 |
| spellingShingle | Mathematical Physics and Mathematics Yampolsky, M Hyperbolicity of renormalization of critical circle maps |
| title | Hyperbolicity of renormalization of critical circle maps |
| title_full | Hyperbolicity of renormalization of critical circle maps |
| title_fullStr | Hyperbolicity of renormalization of critical circle maps |
| title_full_unstemmed | Hyperbolicity of renormalization of critical circle maps |
| title_short | Hyperbolicity of renormalization of critical circle maps |
| title_sort | hyperbolicity of renormalization of critical circle maps |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/456566 |
| work_keys_str_mv | AT yampolskym hyperbolicityofrenormalizationofcriticalcirclemaps |