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math.PR2021
On mean-field super-Brownian motions
Yaozhong Hu, Michael A. Kouritzin, Panqiu Xia +1
The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this mean-field sBm, the branch…
math.PR2021
Nonlinear McKean-Vlasov diffusions under the weak Hormander condition with quantile-dependent coefficients
Yaozhong Hu, Michael A. Kouritzin, Jiayu Zheng
In this paper, the strong existence and uniqueness for a degenerate finite system of quantile-dependent McKean-Vlasov stochastic differential equations are obtained under a weak Hö…