# 澳门新葡新京

#### Strong and weak convergence rates for slow-fast SDEs driven by alpha-stable processes

The averaging principle is researched for a class of stochastic differential equations driven by $\alpha$-stable processes with slow and fast time-scales, $\alpha\in(1,2)$. And the orders $1-1/\alpha$ and $1$ are given for strong and weak convergence respectively. A example shows that $1-1/\alpha$ is the optimal strong convergence rate. (Joint with Xiaobin Sun and Longjie Xie)