The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open

dc.creatorBackes, Lucas Henrique
dc.creatorPoletti, Mauricio
dc.creatorSánchez Chavarría, Adriana Cristina
dc.date.accessioned2021-12-02T15:08:17Z
dc.date.accessioned2022-10-19T23:34:37Z
dc.date.available2021-12-02T15:08:17Z
dc.date.available2022-10-19T23:34:37Z
dc.date.created2021-12-02T15:08:17Z
dc.date.issued2018
dc.identifierhttps://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0025/0006/a002/index.php?mode=ns
dc.identifier1945-001X
dc.identifierhttps://hdl.handle.net/10669/85384
dc.identifier10.4310/MRL.2018.v25.n6.a2
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4519901
dc.description.abstractWe 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.
dc.languageeng
dc.sourceMathematical Research Letters, vol.25(6), pp.1719-1740
dc.subjectLyapunov exponents
dc.subjectPartially hyperbolic systems
dc.subjectLinear cocyles
dc.titleThe set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
dc.typeartículo científico


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