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math.NA2024
Weak error on the densities for the Euler scheme of stable additive SDEs with H{ö}lder drift
Mathis Fitoussi, Stephane Menozzi
We are interested in the Euler-Maruyama dicretization of the SDE dXt =b(t,Xt)dt+ dZt, X0 =xRd, where Zt is a symmetric isotropic d-dimensional -stable process, (1…
math.PR2024
Weak well-posedness and weak discretization error for stable-driven SDEs with Lebesgue drift
Mathis Fitoussi, Benjamin Jourdain, Stéphane Menozzi
We are interested in the discretization of stable driven SDEs with additive noise for (1, 2) and Lq -- Lp drift under the Serrin type condition /q + d/p < -- 1. We…