Athreya, Siva ; Winter, Anita (2005) Spatial coupling of neutral measure-valued population models Stochastic Processes and their Applications, 115 (6). pp. 891-906. ISSN 0304-4149
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.spa.2005.02.002
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 Rn+ and a perturbation estimate for a class of semilinear partial differential equations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier. |
| Keywords: | Measure-valued Processes; Coupling; Look-down; Neumann Problem |
| ID Code: | 100337 |
| Deposited On: | 12 Feb 2018 12:16 |
| Last Modified: | 12 Feb 2018 12:16 |
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