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arXiv · 1510.01902

Exponential mixing for SPDEs driven by highly degenerate L\'evy noises

Xiaobin Sun·Yingchao Xie·Lihu Xu
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Abstract

By a coupling method, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump L\'evy noises are exponential mixing. These pure jump L\'evy noises include $\alpha$-stable process with $\alpha \in (0,2)$

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Xiaobin Sun, Yingchao Xie, Lihu Xu. 2015-10-07. Exponential mixing for SPDEs driven by highly degenerate L\'evy noises. https://doi.org/10.1215/00192082-7600360

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