Weak coupling limit of a Brownian particle in the curl of the 2D GFF

Huanyu Yang, Zhilin Yang

In this article, we study the weak coupling limit of the following equation in ${\mathbb{R}}^2$: $$dX_t^\varepsilon=\frac{\hatλ}{\sqrt{\log\frac1\varepsilon}}ω^\varepsilon(X_t^\varep…