Daniel Lenz, Norbert Peyerimhoff and Ivan Veselic'

We study ergodic random Schrödinger 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 self-averaging integrated density of states and a Pastur--\v{S}ubin type trace formula.

2000 Mathematical Subject Classification: 35J10, 58J35, 82B44.

Keywords: integrated density of states, random metrics, random operators, Schrödinger operators on manifolds, spectral density.

E-mail:
dlenz@mathematik.tu-chemnitz.de
peyerim@math.ruhr-uni-bochum.de
ivan.veselic@ruhr-uni-bochum.de

Home pages:
http://www.tu-chemnitz.de/mathematik/analysis/dlenz
http://www.ruhr-uni-bochum.de/mathematik10/Norbert.html
http://homepage.ruhr-uni-bochum.de/Ivan.Veselic/