3 papers
math.PR2025
Well-Posedness and Ergodicity of Functional Stochastic Partial Differential Equations with Markovian Switching
Fubao Xi, Mingkun Ye, Zuozheng Zhang
This work focuses on a class of semi-linear functional stochastic partial differential equations with Markovian switching, in which the switching component may have finite or count…
math.PR2025
Quantitative approximation to density dependent SDEs driven by -stable processes
Ke Song, Zimo Hao, Mingkun Ye
Based on a class of moderately interacting particle systems, we establish a quantitative approximation for density-dependent McKean-Vlasov SDEs and the corresponding nonlinear, non…
math.PR2024
The Large Deviation Principle for Stochastic Flow of Stochastic Slow-Fast Motions
Mingkun Ye, Zuozheng Zhang
In this paper, we consider a kind of fully coupled slow fast motion, in which the slow variable satisfies the non Lipschitz condition. We prove that the stochastic flow of the slow…