Integrated density of states for random metrics on manifolds
Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'
Abstract
We study ergodic random Schr"odinger operators on a covering manifold, where the randomness enters both via the potential and the metric. We prove measurability of the random operators, almost sure constancy of their spectral properties, the existence of a selfaveraging integrated density of states and a Šubin type trace formula.
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