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math.PR2026
Stein's Method for Convergence Rates of Invariant Measures in the Nonlocal-to-Local Limit
Mingyan Wu, Guohuan Zhao
We utilize Stein's method to establish quantitative bounds on the total variation distance between the invariant measure of a drifted nonlocal Markov operator and that of its local…
math.PR2026
The Euler-Maruyama method for invariant measures of McKean-Vlasov stochastic differential equations
Zhen Wang, Mingyan Wu
This paper investigates the approximation of invariant measures for McKean-Vlasov stochastic differential equations (SDEs) using the Euler-Maruyama (EM) scheme under a monotonicity…
math.PR2026
Euler--Maruyama scheme for -stable SDE with distributional drift
Zimo Hao, Mingyan Wu
In this paper, we consider a class of stochastic differential equations driven by symmetric non-degenerate -stable processes (including cylindrical ones) with . We f…