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math.PR2020
Strong averaging principle for a class of slow-fast singular SPDEs driven by -stable process
Xiaobin Sun, Huilian Xia, Yingchao Xie +1
In this paper, the strong averaging principle is researched for a class of Hölder continuous drift slow-fast SPDEs with -stable process by the Zvonkin's transformation and the c…
math.PR2020
Strong and weak convergence rates for slow-fast stochastic differential equations driven by -stable process
Xiaobin Sun, Longjie Xie, Yingchao Xie
In this paper, we study the averaging principle for a class of stochastic differential equations driven by -stable processes with slow and fast time-scales, where . W…