Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases-Reference-Cited by-同舟云学术

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Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases

Published:2017-07-04 Issue:1 Volume:49 Page:73-87
ISSN:1678-7544
Container-title:Bulletin of the Brazilian Mathematical Society, New Series
language:en
Short-container-title:Bull Braz Math Soc, New Series

Author:

Bessa Mário,Bochi Jairo,Cambrainha Michel,Matheus Carlos,Varandas Paulo,Xu Disheng

Funder

CNPq

Fundação para a Ciência e a Tecnologia

Fondecyt

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00574-017-0048-6/fulltext.html

Reference31 articles.

1. Aoun, R.: Transience of algebraic varieties in linear groups—applications to generic Zariski density. Ann. Inst. Fourier (Grenoble) 63, 2049–2080 (2013)

2. Avila, A.: Density of positive Lyapunov exponents for $${\rm SL}(2,{\mathbb{R}})$$ SL ( 2 , R ) -cocycles. J. Am. Math. Soc. 24(4), 999–1014 (2011)

3. Avila, A., Crovisier, S., Wilkinson, A.: Diffeomorphisms with positive metric entropy. Publ. Math. Inst. Hautes Études Sci. 124, 319–347 (2016)

4. Avila, A., Krikorian, R.: Monotonic cocycles. Invent. Math. 202(1), 271–331 (2015)

5. Avila, A., Viana, M.: Simplicity of Lyapunov spectra: a sufficient criterion. Port. Math. 64, 311–376 (2007)

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