Stochastic stability of generalized SRB measures of Axiom A basic sets
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- by Liu Pei-Dong and Zheng Hong-Wen PDF
- Proc. Amer. Math. Soc. 128 (2000), 3541-3545 Request permission
Abstract:
In this note we prove that the generalized SRB measure of an Axiom A basic set is stable under random diffeomorphisms type perturbations.References
- L. Arnold, Random Dynamical Systems, Springer-Verlag, Berlin Heidelberg New York, 1998.
- T. Bogenschütz, Private communication.
- Thomas Bogenschütz, Stochastic stability of equilibrium states, Random Comput. Dynam. 4 (1996), no. 2-3, 85–98. MR 1402413
- T. Bogenschütz, Equilibrium states for random dynamical systems, Ph.D. Thesis, Bremen University, 1993.
- Pei-Dong Liu, Random perturbations of Axiom A basic sets, J. Statist. Phys. 90 (1998), no. 1-2, 467–490. MR 1611096, DOI 10.1023/A:1023280407906
- Pei-Dong Liu and Min Qian, Smooth ergodic theory of random dynamical systems, Lecture Notes in Mathematics, vol. 1606, Springer-Verlag, Berlin, 1995. MR 1369243, DOI 10.1007/BFb0094308
- Lai-Sang Young, Stochastic stability of hyperbolic attractors, Ergodic Theory Dynam. Systems 6 (1986), no. 2, 311–319. MR 857204, DOI 10.1017/S0143385700003473
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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3541-3545
- MSC (2000): Primary 37D20
- DOI: https://doi.org/10.1090/S0002-9939-00-05780-4
- MathSciNet review: 1778278