Physics – Mathematical Physics
Scientific paper
2007-05-11
Physics
Mathematical Physics
7 pages, typos corrected in v2, to appear in Proc. Amer. Math. Soc
Scientific paper
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.
Hislop Peter D.
Müller Peter
No associations
LandOfFree
A lower bound for the density of states of the lattice Anderson model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A lower bound for the density of states of the lattice Anderson model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A lower bound for the density of states of the lattice Anderson model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-412063