Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators
Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators
We introduce and prove local Wegner estimates for continuous generalized Anderson Hamiltonians, where the single-site random variables are independent but not necessarily identically distributed. In particular, we get Wegner estimates with a constant that goes to zero as we approach the bottom of the spectrum. As an application, we show …