A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on ${\mathbb{R}}^d$

Adrian Dietlein, Martin Gebert, Peter D. Hislop +2

We obtain a bound on the expectation of the spectral shift function for alloy-type random Schrödinger operators on ${\mathbb{R}}^d$ in the region of localisation, corresponding to a…