Non positive single site potential:

Case 2:

 (H.1') single site potential bounded and compactly supported

 (H.2) r.v. i.i.d. bounded with absolutely continuous density

Let  be the bottom of the spectrum of the background operator.



Related results on Wegner estimates by Kirsch - Veselic (2002).
Actually the restriction on the energy interval can be relaxed.

One can shift the infimum of the spectrum of the background operator