Publications and Preprints
Spatial Coupling of Neutral Measure-valued Population Models
Siva Athreya and Anita Winter
In this article we discuss spatial couplings for measure-valued population models which have a particle representation. We will show that provided the corresponding genealogical trees are compact the qualitative behavior of a coupling of a particle's individual motion translates into a coupling of the continuous mass measure-valued models. As applications of the above method we present a coupling of diffusions on $R_+^n$ and a perturbation estimate for a class of semilinear partial differential equations.
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