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arXiv 2012.12146math.PR
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Mutually interacting superprocesses with migration

Lina Ji, Huili Liu, Jie Xiong

英文摘要:

A system of mutually interacting superprocesses with migration is constructed as the limit of a sequence of branching particle systems arising from population models. The uniqueness in law of the superprocesses is established using the pathwise uniqueness of a system of stochastic partial differential equations with non-Lipschitz coefficients, which is satisfied by the corresponding system of distribution-function-valued processes.

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