A scaling limit of the parabolic Anderson model with exclusion interaction

Dirk Erhard, Martin Hairer

We consider the (discrete) parabolic Anderson model $\partial u(t,x)/\partial t=\Delta u(t,x)+{\xi }_t(x)u(t,x)$, $t\ge 0$, $x\in {\mathbb{Z}}^d$, where the $\xi$-field is $\mathbb{R}$-valued…