6 citations · 26 across the 25 of their papers we have counts for
6 papers · 1 filter
Harnack estimates for nondivergence kinetic equations
Zimo Hao, Xicheng Zhang
We establish a weak Harnack inequality for nonnegative strong supersolutions and a Harnack inequality for nonnegative strong solutions of the nondivergence-form kinetic equation \[…
Well-Posedness for SDEs with Logarithmical Critical Distributional Drifts
Zikai Chen, Zimo Hao, Xicheng Zhang
We study the stochastic differential equation on , where is a time-dependent, divergence-free distributional drift of critical…
Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels
Zimo Hao, Xicheng Zhang, Xianliang Zhao
We prove a quantitative propagation of chaos estimate and a central limit theorem for the particle system associated with a class of degenerate kinetic McKean--Vlasov SDEs with ext…
Kinetic Fokker-Planck Equations with Nonlinear Diffusion
Zimo Hao, Zhengyan Wu, Xicheng Zhang
We study existence, regularity, and uniqueness for the nonlinear kinetic Fokker--Planck equation on $\mathbb R^{2d…
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…
Weak approximation of kinetic SDEs: closing the criticality gap
Zimo Hao, Khoa Lê, Chengcheng Ling
We study the weak convergence of a generic tamed Euler-Maruyama scheme for kinetic stochastic differential equations (SDEs) with integrable drifts. We show that the marginal densit…