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arXiv · 0707.1486

The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

Michael J. Gruber·Ivan Veselić
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Abstract

We consider an alloy type potential on an infinite metric graph. We assume a covering condition on the single site potentials. For random Schrödingers operator associated with the alloy type potential restricted to finite volume subgraphs we prove a Wegner estimate which reproduces the modulus of continuity of the single site distribution measure. The Wegner constant is independent of the energy.

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BibTeXRIS

Michael J. Gruber, Ivan Veselić. 2007-07-10. The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs. https://doi.org/10.1515/rose.2008.001

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