50 citations · 153 across the 53 of their papers we have counts for
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math.PR2012
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…
math.PR2012★ 3 cited
Large Deviation Principle for Some Measure-Valued Processes
Parisa Fatheddin, Jie Xiong
We establish a large deviation principle for the solutions of a class of stochastic partial differential equations with non-Lipschitz continuous coefficients. As an application, th…
math.PR2012★ 50 cited
Super-Brownian motion as the unique strong solution to an SPDE
Jie Xiong
A stochastic partial differential equation (SPDE) is derived for super-Brownian motion regarded as a distribution function valued process. The strong uniqueness for the solution to…