4 papers · 1 filter
Mutually interacting superprocesses with migration
Lina Ji, Huili Liu, Jie Xiong
A system of mutually interacting superprocesses with migration is constructed as the limit of a sequence of branching particle systems arising from population models. The uniquenes…
Generalized stepping stone model with -resampling mechanism
Huili Liu, Xiaowen Zhou
A generalized stepping stone model with -resampling mechanism is a two dimensional probability-measure-valued stochastic process whose moment dual is similar to that of the clas…
The reversibility and an SPDE for the generalized Fleming-Viot Processes with mutation
Zenghu Li, Huili Liu, Jie Xiong +1
The (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 the Kin…
The compact support property for the -Fleming-Viot process with underlying Brownian motion
Huili Liu, Xiaowen Zhou
Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the -Fleming-Viot process with underlying Brownian motion has a compact support…