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math.PR2026
Long term convergence rate of Smoluchowski-Kramers approximation by Stein's method
Shiyu Liu, Wei Liu, Lihu Xu
We consider the following second-order stochastic differential equation on : \begin{equation*} dX_t^m=Y_t^mdt, \quad mdY_t^m=b(X_t^m)dt+σ(X_t^m)dB_t-Y^m_tdt, \end{…
math.PR2024
-convergence rate of EM schemes for invariant measures of supercritical stable SDEs
Peng Chen, Lihu Xu, Xiaolong Zhang +1
By establishing the regularity estimates for nonlocal Stein/Poisson equations under -order Hölder and dissipative conditions on the coefficients, we derive the -conve…