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arXiv 2011-12-07 0 views

Exponential mixing for SDEs forced by degenerate Levy noises

Xu, Lihu

Original · EN

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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