# Publications and Preprints

Spatial Coupling of Neutral Measure-valued Population Models
by
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.

isid/ms/2004/14 [fulltext]