Wegner estimate for sparse and other generalized alloy type potentials
Among other things, a Wegner estimate at low energies for distributions which may have a point mass away from the relevant extremal value of their support is proved. Models with nonstationary random variables as well as various deviations from the alloy-type model are treated. The application of the results to the usual alloy-type model imply the Hölder continuity of the integrated density of states at the infimum of the spectrum of the considered operator. To illustrate the results, several examples are presented.
singular distribution of coupling constants
scientific article; zbMATH DE number 1751264
scientific article