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

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 Added by Yongqiang Suo
 Publication date 2021
  fields
and research's language is English




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In this paper, the discrete parameter expansion is adopted to investigate the estimation of heat kernel for Euler-Maruyama scheme of SDEs driven by {alpha}-stable noise, which implies krylovs estimate and khasminskiis estimate. As an application, the convergence rate of Euler-Maruyama scheme of a class of multidimensional SDEs with singular drift( in aid of Zvonkins transformation) is obtained.

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