In this paper we establish the central limit theorem for a class of stochastic partial differential equations and as an application derive this theorem for two widely studied population models: super-Brownian motion and the Fleming-Viot process.
"Central limit theorem for a class of SPDEs." J. Appl. Probab. 52 (3) 786 - 796, September 2015. https://doi.org/10.1239/jap/1445543846