The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials

Kamil Kaleta, Katarzyna Pietruska-Pałuba

We study the quenched long time behaviour of the survival probability up to time $t$, ${\mathbf{E}}_x\left[e^{-{\int }_0^t{V}^{\omega }(X_s)\mathrm{d}s}\right],$ of a symmetric Lévy process with jumps…