Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model

Marek Biskup, Wolfgang Koenig

We consider the large-time behavior of the solution $u:[0,\infty )\times \mathbb{Z}\to [0,\infty )$ to the parabolic Anderson problem ${\partial }_{t}u=\kappa \Delta u+\xi u$ with initial data $u(0,\cdot)=…