Spatial coupling of neutral measure-valued population models

Siva Athreya and Anita Winter

Stochastic Processes and their Applications, 2005, vol. 115, issue 6, 891-906

Abstract: In this article we discuss spatial couplings for measure-valued population models which have a particle representation. We will show that provided the corresponding genealogies 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 and a perturbation estimate for a class of semilinear partial differential equations.

Keywords: Measure-valued; processes; Coupling; Look-down; Neumann; problem (search for similar items in EconPapers)
Date: 2005
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