  We consider the Anderson model on the multi-dimensional cubic lattice and
prove a positive lower bound on the density of states under certain conditions.
For example, if the random variables are independently and identically
distributed and the probability measure has a bounded Lebesgue density with
compact support, and if this density is essentially bounded away from zero on
its support, then we prove that the density of states is strictly positive for
Lebesgue-almost every energy in the deterministic spectrum.
