Integrated density of states for ergodic random Schrödinger operators on manifolds
Norbert Peyerimhoff, Ivan Veselić
Abstract
We consider the Riemannian universal covering of a compact manifold M = X / Γ and assume that Γ is amenable. We show for an ergodic random family of Schrödinger operators on X the existence of a (non-random) integrated density of states.
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