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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…