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The central limit theorem for slow-fast systems with Lévy noise
Xiaoyu Yang, Yong Xu, Ruifang Wang, Zhe Jiao · 2020-08-19 · via math.PR updates on arXiv.org

We consider a slow-fast stochastic differential system with Lévy noise. We will employ the perturbed test function method to study the normal deviation of the slow-fast system. Our main result states that the deviation can be approximated by a Gaussian process and the central limit theorem is obtained for the system.

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