@article{4d9bbba86a9543eea90ec423c17183f9,
title = "Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases",
abstract = "A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.",
author = "M{\'a}rio Bessa and Jairo Bochi and Michel Cambrainha and Carlos Matheus and Paulo Varandas and Disheng Xu",
note = "Funding Information: Bessa is partially supported by FCT—{\textquoteleft}Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia{\textquoteright}, through Centro de Matem{\'a}tica e Aplica{\c c}{\~o}es (CMA-UBI), Universidade da Beira Interior, project UID/MAT/00212/2013. Bochi is partially supported by project Fondecyt 1140202 (Chile). Varandas is partially supported by CNPq-Brazil. Funding Information: The authors are grateful to the referee for a careful reading of the manuscript and for useful suggestions that helped to improve the presentation of the paper. Bessa is partially supported by FCT??Funda??o para a Ci?ncia e a Tecnologia?, through Centro de Matem?tica e Aplica??es (CMA-UBI), Universidade da Beira Interior, project UID/MAT/00212/2013. Bochi is partially supported by project Fondecyt 1140202 (Chile). Varandas is partially supported by CNPq-Brazil. Publisher Copyright: {\textcopyright} 2017, Sociedade Brasileira de Matem{\'a}tica.",
year = "2018",
month = mar,
day = "1",
doi = "10.1007/s00574-017-0048-6",
language = "English (US)",
volume = "49",
pages = "73--87",
journal = "Bulletin of the Brazilian Mathematical Society",
issn = "1678-7544",
publisher = "Springer New York",
number = "1",
}