Mutually interacting superprocesses with migration
Probability
2021-02-05 v2
Abstract
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.
Cite
@article{arxiv.2012.12146,
title = {Mutually interacting superprocesses with migration},
author = {Lina Ji and Huili Liu and Jie Xiong},
journal= {arXiv preprint arXiv:2012.12146},
year = {2021}
}
Comments
19 pages