Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1155593 | Stochastic Processes and their Applications | 2013 | 27 Pages |
Abstract
The (Ξ,A)(Ξ,A)-Fleming–Viot process with mutation is a probability-measure-valued process whose moment dual is similar to that of the classical Fleming–Viot process except that Kingman’s coalescent is replaced by the ΞΞ-coalescent, the coalescent with simultaneous multiple collisions. We first prove the existence of such a process for general mutation generator AA. We then investigate its reversibility. We also study both the weak and strong uniqueness of the solution to the associated stochastic partial differential equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Zenghu Li, Huili Liu, Jie Xiong, Xiaowen Zhou,