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

preprint2007arXivOpen access

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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