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The reversibility and an SPDE for the generalized Fleming-Viot Processes with mutation
- Publication Year :
- 2012
-
Abstract
- The (\Xi, 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 the Kingman's coalescent is replaced by the \Xi-coalescent, the coalescent with simultaneous multiple collisions. We first prove the existence of such a process for general mutation generator A. We then investigate its reversibility. We also study both the weak and strong uniqueness of solution to the associated stochastic partial differential equation.
- Subjects :
- Mathematics - Probability
Primary 60G57, 60H15, secondary 60J80
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1210.3259
- Document Type :
- Working Paper