Resumen de Integrated density of states for random metrics on manifolds

Daniel H. Lenz, Norbert Peyerimhoff, Ivan Veselic

• We study ergodic random Schrödinger operators on a covering manifold, where the randomness enters both via the potential and the metric. We prove measurability of the random operators, almost sure constancy of their spectral properties, the existence of a self-averaging integrated density of states and a Pastur¿¿ubin type trace formula.