Abstract: | In this talk, we will develop an EM scheme to approximate the ergodic measure of the SDE driven by stable process, and obtain a bound for the Wasserstein-1 distance between the ergodic measures of EM scheme and the SDE. We show that this bound is optimal. The method is by a recently developed probability approximation framework and Malliavin calculus. The work is based on the joint work with Peng Chen, Changsong Deng and Rene Schilling. |