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math.PR2023
Mixed state branching evolution for cell division models
Shukai Chen, Lina Ji, Jie Xiong
We prove a scaling limit theorem for two-type Galton-Waston branching processes with interaction. The limit theorem gives rise to a class of mixed state branching processes with in…
math.PR2023
Well-posedness of the martingale problem for super-Brownian motion with interactive branching
Lina Ji, Jie Xiong, Xu Yang
In this paper a martingale problem for super-Brownian motion with interactive branching is derived. The uniqueness of the solution to the martingale problem is obtained by using th…