Author

Xiao-Wen Zhou

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Preprint Aug 2026

Mean-field branching SDEs: propagation of chaos, scaling limits and phase transitions

We study branching SDEs with law-dependent immigration and their mean-field particle approximations. Under a dissipativity condition and sufficiently weak interaction, a uniform propagation-of-chaos bound in time of order $N^{-1/2}$ is established. On every fixed finite time horizon, the same order of propagation of ch...

Shu-Kai Chen, Lina Ji, Xiao-Wen Zhou · 0 citations

Preprint Sep 2026

Behaviors near infinity for mutually enhancing continuous-state population dynamics

In this paper we consider a two-dimensional generalized continuous-state branching process with mutually enhancing two-way interactions characterized by two stochastic differential equations driven by Brownian motions and spectrally positive $\alpha$-stable random measures. Such continuous-state population dynamics can...

Jie Xiong, Xu Yang, Xiao-Wen Zhou · 0 citations