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

Backes, Lucas Henrique; Poletti, Mauricio; Sánchez Chavarría, Adriana Cristina

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

dc.creator	Backes, Lucas Henrique
dc.creator	Poletti, Mauricio
dc.creator	Sánchez Chavarría, Adriana Cristina
dc.date.accessioned	2021-12-02T15:08:17Z
dc.date.available	2021-12-02T15:08:17Z
dc.date.issued	2018
dc.description.abstract	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.	es
dc.description.procedence	UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática	es
dc.description.sponsorship	Coordinación de la formación del personal de nivel superior/[88881.120218/2016-01]/CAPES/Brasil	es
dc.description.sponsorship	Consejo Nacional de Desarrollo Científico y Tecnológico/[]/CNPq/Brasil	es
dc.description.sponsorship	Université Paris 13/[]//Francia	es
dc.description.sponsorship	Universidad de Costa Rica/[]/UCR/Costa Rica	es
dc.identifier.citation	https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0025/0006/a002/index.php?mode=ns
dc.identifier.doi	https://doi.org/10.4310/MRL.2018.v25.n6.a2
dc.identifier.issn	1945-001X
dc.identifier.uri	https://hdl.handle.net/10669/85384
dc.language.iso	eng
dc.rights	acceso abierto
dc.source	Mathematical Research Letters, vol.25(6), pp.1719-1740	es
dc.subject	Lyapunov exponents	es
dc.subject	Partially hyperbolic systems	es
dc.subject	Linear cocyles	es
dc.title	The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open	es
dc.type	artículo original

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