Werner Kirsch, Ivan Veselic
Wegner estimate for sparse and other generalized alloy type
potentials
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ABSTRACT. We prove a Wegner estimate for generalized alloy type models at
negative energies (Theorems 8 and 13). The single site potential is assumed to be non-
positive.
The random potential does not need to be stationary with respect
to translations from a lattice. Actually, the set of points to which the
individual single site potentials are attached, needs only to satisfy a
certain density condition.
The distribution of the coupling constants is assumed to have a
bounded density only in the energy region where we prove the
Wegner estimate.