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Geometriae Dedicata
Volume 91, Number 1, 117-135, DOI: 10.1023/A:1016222913877

Integrated Density of States for Ergodic Random Schrödinger Operators on Manifolds

Norbert Peyerimhoff and Ivan Veselić

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Abstract

We consider the Riemannian universal covering of a compact manifold M = X/Gamma and assume that Gamma is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X.

integrated density of states - random Schrödinger operators - Riemannian manifolds with compact quotient - amenable groups - ergodic theorem

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