The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
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| Autoři: | , , |
|---|---|
| Médium: | artículo original |
| Datum vydání: | 2018 |
| Popis: | We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we present an example showing that this is no longer true if we do not assume accessibility in the base dynamics. |
| Země: | Kérwá |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Jazyk: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/85384 |
| On-line přístup: | https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0025/0006/a002/index.php?mode=ns https://hdl.handle.net/10669/85384 |
| Klíčové slovo: | Lyapunov exponents Partially hyperbolic systems Linear cocyles |