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In this paper, the discrete parameter expansion is adopted to investigate theestimation of heat kernel for Euler-Maruyama scheme of SDEs driven by{\alpha}-stable noise, which implies krylov's estimate and khasminskii'sestimate. As an application, the convergence rate of Euler-Maruyama scheme of aclass of multidimensional SDEs with singular drift( in aid of Zvonkin'stransformation) is obtained.

Estimate of Heat Kernel for Euler-Maruyama Scheme of SDEs Driven by {\alpha}-Stable Noise and Applications