Centre for Mathematical Physics and Stochastics

Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2000-33

August 2000

We consider a Riemannian manifold X admitting a compact quotient X/Gamma, i.e. is a cocompact subgroup of the isometries acting properly discontinuously on X. We show, under certain conditions on Gamma, that it is possible to define an integrated density of states for Gamma-ergodic random Schrödinger operators on X (see Theorem 7). These conditions are, e.g., satisfied if Gamma has polynomial growth.

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