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Acta Mathematica Sinica, English Series

, Volume 26, Issue 5, pp 923–936 | Cite as

Stochastic perturbations of fat solenoidal attractors

  • Yan ZhengEmail author
Article

Abstract

In this article stochastic perturbations of a class of fat solenoidal attractors are considered. We show the robustness of their invariant densities and rates of mixing under the stochastic perturbations by investigating the properties of their transfer operators.

Keywords

fat solenoidal attractors stochastic perturbations Sinai-Ruelle-Bowen measures 

MR(2000) Subject Classification

37D25 37D30 

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsNational University of Defense TechnologyChangshaP. R. China

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