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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Stochastic stability of generalized SRB measures of Axiom A basic sets


Authors: Liu Pei-Dong and Zheng Hong-Wen
Journal: Proc. Amer. Math. Soc. 128 (2000), 3541-3545
MSC (2000): Primary 37D20
Published electronically: May 18, 2000
MathSciNet review: 1778278
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Abstract:

In this note we prove that the generalized SRB measure of an Axiom A basic set is stable under random diffeomorphisms type perturbations.


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Additional Information

Liu Pei-Dong
Affiliation: Department of Mathematics and Institute of Mathematics, Peking University, Beijing 100871, People’s Republic of China
Email: lpd@pku.edu.cn

Zheng Hong-Wen
Affiliation: Department of Mathematics, Hebei Normal University, Shijiazhuang City 050016, Hebei, People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05780-4
PII: S 0002-9939(00)05780-4
Keywords: Axiom A basic set, generalized SRB measure, random dynamical system
Received by editor(s): January 28, 1999
Published electronically: May 18, 2000
Additional Notes: The first author was supported by the NSPCP and a fund from the NECC
The second author was supported by the National Natural Science Foundation of China.
Communicated by: Michael Handel
Article copyright: © Copyright 2000 American Mathematical Society