Mutually interacting superprocesses with migration

JOURNAL OF APPLIED PROBABILITY（2022）

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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, which is satisfied by the corresponding system of distribution function-valued processes.

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关键词

Distribution function-valued, Martingale problem, superprocess, stochastic partial differential equation, well-posedness

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