02-143 Werner Kirsch, Ivan Veselic

Wegner estimate for sparse and other generalized alloy type potentials (364K, PDF) Mar 22, 02

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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.

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