Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'
Random Schr"odinger operators on manifolds
(474K, postscript)

ABSTRACT.  We consider a random family of Schr\"odinger operators on a cover $X$ of a 
compact Riemannian manifold $M = X/\Gamma$. We present several results on their 
spectral theory, in particular almost sure constancy of the 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.