Precise asymptotics for the parabolic Anderson model with a moving catalyst or trap

Adrian Schnitzler, Tilman Wolff

We consider the solution $u:[0,\infty )\times {\mathbb{Z}}^d\to [0,\infty )$ to the parabolic Anderson model, where the potential is given by $(t,x)\mapsto \gamma {\delta }_{Y_t}(x)$ w…