Uniform hyperbolicity for random maps with positive Lyapunov exponents
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- by Yongluo Cao, Stefano Luzzatto and Isabel Rios PDF
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Abstract:
We consider some general classes of random dynamical systems and show that a priori very weak nonuniform hyperbolicity conditions actually imply uniform hyperbolicity.References
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Additional Information
- Yongluo Cao
- Affiliation: Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, People’s Republic of China
- MR Author ID: 343275
- Email: ylcao@suda.edu.cn
- Stefano Luzzatto
- Affiliation: Department of Mathematics, Imperial College, 180 Queen’s Gate, London SW7 2AZ, United Kingdom
- Email: Stefano.Luzzatto@imperial.ac.uk
- Isabel Rios
- Affiliation: Department of Mathematics, Universidade Federal Fluminense, Niteroi, Rio deJaneiro, Brazil
- Email: rios@mat.uff.br
- Received by editor(s): April 2, 2007
- Received by editor(s) in revised form: September 3, 2007
- Published electronically: May 8, 2008
- Additional Notes: The first author was partially supported by NSFC(10571130), NCET, and SRFDP of China and the Royal Society.
The second author was partially supported by EPSRC grant GRT0969901.
The third author was partially supported by CAPES and FAPERJ (Brazil). The authors would like thank M. Benedicks and M. Viana for their suggestions and encouragement. - Communicated by: Jane M. Hawkins
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3591-3600
- MSC (2000): Primary 37H15
- DOI: https://doi.org/10.1090/S0002-9939-08-09347-7
- MathSciNet review: 2415043