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Mutually interacting superprocesses with migration
Published online by Cambridge University Press: 11 July 2022
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, which is satisfied by the corresponding system of distribution function-valued processes.
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- © The Author(s), 2022. Published by Cambridge University Press on behalf of Applied Probability Trust