00-331 Norbert Peyerimhoff, Ivan Veseli\'{c}

Integrated density of states for random {Schr\"{o}dinger} operators on manifolds (371K, PS) Sep 1, 00

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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.}

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