Random Schroedinger operators on manifolds

Lenz, D.; Peyerimhoff, N.; Veselic, I.

Random Schroedinger operators on manifolds

Lenz, D.; Peyerimhoff, N.; Veselic, I.

Authors

D. Lenz

Professor Norbert Peyerimhoff norbert.peyerimhoff@durham.ac.uk
Professor

I. Veselic

Abstract

We consider a random family of Schroedinger operators on a cover of a compact Riemannian manifold. We present several results on their spectral theory, in particular almost sure constancy of th spectral components and existence and non-randomness of an integrated density of states. We also sketch a groupoid based general framework which allows to treat basic features of random operators in different contexts in a unified way. Further topics of research are also discussed.