Wegner estimate for sparse and other generalized alloy type potentials (Q1599746)
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scientific article; zbMATH DE number 1751264
| Language | Label | Description | Also known as |
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| English | Wegner estimate for sparse and other generalized alloy type potentials |
scientific article; zbMATH DE number 1751264 |
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Wegner estimate for sparse and other generalized alloy type potentials (English)
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9 January 2003
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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.
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Wegner estimate
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density of states
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random Schrödinger operators
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nonstationary potentials
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singular distribution of coupling constants
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