Norbert Peyerimhoff, Ivan Veselić
Published 2002-10-25Version 1
We consider the Riemannian universal covering of a compact manifold $M = X / \Gamma$ and assume that $\Gamma$ is amenable. We show for an ergodic random family of Schr\"odinger operators on $X$ the existence of a (non-random) integrated density of states.
Comments: LaTeX 2e, amsart, 17 pages; appeared in a somewhat different form in Geometriae Dedicata, 91 (1): 117-135, (2002)
Journal: Geometriae Dedicata, 91 (1): 117-135, (2002)
Discontinuities of the integrated density of states for random operators on Delone sets
Integrated density of states for random metrics on manifolds
Central limit theorem for the integrated density of states of the Anderson model on lattice
