Complete localisation in the parabolic Anderson model with Pareto-distributed potential

Wolfgang Konig, Peter Morters, Nadia Sidorova

The parabolic Anderson problem is the Cauchy problem for the heat equation ${\partial }_{t}u(t,z)=\Delta u(t,z)+\xi (z)u(t,z)$ on $(0,\infty )\times {\mathbb{Z}}^d$ with random potential $(ξ(z)…