The parabolic Anderson model on the hypercube

Luca Avena, Onur Gün, Marion Hesse

We consider the parabolic Anderson model $\frac{\partial }{\partial t}{v}_n=\kappa {\Delta }_n{v}_n+{\xi }_n{v}_n$ on the $n$-dimensional hypercube $\{-1,+1{\}}^n$ with random i.i.d. potential ${\xi }_n$. We…