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Spatial coupling of neutral measure-valued population models

Author

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  • Athreya, Siva
  • Winter, Anita

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.

Suggested Citation

  • Athreya, Siva & Winter, Anita, 2005. "Spatial coupling of neutral measure-valued population models," Stochastic Processes and their Applications, Elsevier, vol. 115(6), pages 891-906, June.
    • Handle: RePEc:eee:spapps:v:115:y:2005:i:6:p:891-906
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