Norbert Peyerimhoff, Ivan Veseli\'{c}
Integrated density of states for random {Schr\"{o}dinger} operators on 
 manifolds
(371K, PS)

ABSTRACT.  {We consider a Riemannian manifold $X$ admitting a 
 compact quotient $X / \Gamma$, i.e., $\Gamma$ 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 
 Schr\"{o}dinger operators on $X$ (see Theorem 7). These 
 conditions are, e.g., satisfied if $\Gamma$ has polynomial growth.}