## Wegner Estimate for Sparse and Other Generalized Alloy Type Potentials (2002)

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by
Werner Kirsch
,
Ivan Veselic

Citations: | 11 - 3 self |

### BibTeX

@MISC{Kirsch02wegnerestimate,

author = {Werner Kirsch and Ivan Veselic},

title = {Wegner Estimate for Sparse and Other Generalized Alloy Type Potentials},

year = {2002}

}

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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.