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Uniform hyperbolicity for random maps with positive Lyapunov exponents
Author(s):
Yongluo
Cao;
Stefano
Luzzatto;
Isabel
Rios
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3591-3600.
MSC (2000):
Primary 37H15
Posted:
May 8, 2008
MathSciNet review:
2415043
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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
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 de Janeiro, Brazil
Email:
rios@mat.uff.br
DOI:
10.1090/S0002-9939-08-09347-7
PII:
S 0002-9939(08)09347-7
Keywords:
Skew-product,
random maps,
Lyapunov exponents
Received by editor(s):
April 2, 2007,
Received by editor(s) in revised form:
September 3, 2007
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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