论文标题

与迁移的相互互动超级过程

Mutually interacting superprocesses with migration

论文作者

Ji, Lina, Liu, Huili, Xiong, Jie

论文摘要

与迁移的相互作用超级过程的系统被构造为由人口模型引起的分支粒子系统序列的极限。超级过程的法律唯一性是使用具有非lipschitz系数的随机部分微分方程系统的路径为唯一性建立的,这是通过相应的分布函数可值值过程的系统来满足的。

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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