The branching diffusion with immigration
Abstract
The branching diffusion with immigration is studied. Under general branching and diffusion laws, the process is shown to be mixing, according to Brillinger's definition. Brillinger's central limit theorem for spatially homogeneous mixing processes is generalized to prove that, under a renormalization transformation, the distribution of the branching diffusion with immigration converges to a completely random Gaussian random measure. In addition,...
Paper Details
Title
The branching diffusion with immigration
Published Date
Mar 1, 1980
Volume
17
Issue
01
Pages
1 - 15
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