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math.PR2024
Quantitative approximation of stochastic kinetic equations: from discrete to continuum
Zimo Hao, Khoa Lê, Chengcheng Ling
We study the convergence of a generic tamed Euler-Maruyama (EM) scheme for the kinetic type stochastic differential equations (SDEs) (also known as second order SDEs) with singular…
math.PR2022★ 5 cited
Strong and weak convergence for averaging principle of DDSDE with singular drift
Mengyu Cheng, Zimo Hao, Michael Röckner
In this paper, we study the averaging principle for distribution dependent stochastic differential equations with drift in localized spaces. Using Zvonkin's transformation an…
math.PR2021
Well-posedness of density dependent SDE driven by -stable process with Hölder drifts
Mingyan Wu, Zimo Hao
In this paper, we show the weak and strong well-posedness of density dependent stochastic differential equations driven by -stable processes with . The existence part…