Parabolic Anderson model with a finite number of moving catalysts

Fabienne Castell, Onur Gün, Grégory Maillard

We consider the parabolic Anderson model (PAM) which is given by the equation $\partial u/\partial t=\kappa \Delta u+\xi u$ with $u:{\mathbb{Z}}^d\times [0,\infty )\to \mathbb{R}$, where $κ\in [0,\infty…