Contents |
The structure of the spectrum of random operators is studied. It is
shown that if the density of states measure of some subsets of the
spectrum is zero, then these subsets are empty. In particular follows
that absolute continuity of the IDS implies singular spectra of ergodic
operators is either empty or of positive measure. Our results apply
to Anderson and alloy type models, perturbed Landau Hamiltonians,
almost periodic potentials and models which are not ergodic. |
|