MPS-RR 2000-33
August 2000
Integrated density of states for random Schrödinger operators on manifolds
by:
Norbert Peyerimhoff, Ivan Veselic
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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This paper has now been published in Geom. Dedicata 91, 117--135 (2002)![[MaPhySto logo]](../../Graphics/logo.gif){kind=logo}