182 citations · 1.5k across the 227 of their papers we have counts for
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math.DS2015★ 13 cited
Dynamical Inference for Transitions in Stochastic Systems with stable Lévy Noise
Ting Gao, Jinqiao Duan, Xingye Kan
A goal of data assimilation is to infer stochastic dynamical behaviors with available observations. We consider transition phenomena between metastable states for a stochastic syst…
math.DS2015★ 8 cited
A regularity result for the nonlocal Fokker-Planck equation with Ornstein-Uhlenbeck drift
Xiaoxia Xie, Jinqiao Duan, Xiaofan Li +1
Despite there are numerous theoretical studies of stochastic differential equations with a symmetric -stable Lévy noise, very few regularity results exist in the case of $0<α\le…