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

 

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Detalles Bibliográficos
Autores: Backes, Lucas Henrique, Poletti, Mauricio, Sánchez Chavarría, Adriana Cristina
Formato: artículo original
Fecha de Publicación:2018
Descripción: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.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
Lenguaje:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85384
Acceso en línea: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
Palabra clave:Lyapunov exponents
Partially hyperbolic systems
Linear cocyles