The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
Gorde:
| Egileak: | , , |
|---|---|
| Formatua: | artículo original |
| Argitaratze data: | 2018 |
| Deskribapena: | 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. |
| Herria: | Kérwá |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Hizkuntza: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/85384 |
| Sarrera elektronikoa: | 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 |
| Gako-hitza: | Lyapunov exponents Partially hyperbolic systems Linear cocyles |