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arXiv · 1112.1647

Exponential mixing for SDEs forced by degenerate Levy noises

Lihu Xu
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Abstract

We modify the coupling method established in [22, 20] and develop a technique to prove the exponential mixing of a 2D stochastic system forced by degenerate Levy noises. In particular, these Levy noises include $α$-stable noises (0 < $α$ < 2). Thanks to the stimulating discussion [14], this technique is promising to study the exponential mixing problem of SPDEs driven by degenerate symmetric $α$-stable noises.

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Lihu Xu. 2015-01-26. Exponential mixing for SDEs forced by degenerate Levy noises. https://arxiv.org/abs/1112.1647

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