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Integrated Density of States For Random Metrics on Manifolds |
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| Authors: | Lenz, Daniel Peyerimhoff, Norbert Veselic, Ivan |
| Affiliation: | Fakultät für Mathematik, TU Chemnitz 09107 Chemnitz, Germany; E-mail: dlenz{at}mathematik.tu-chemnitz.de, www.tu-chemnitz.de/mathematik/analysis/dlenz Fakultät für Mathematik, Ruhr-Universität Bochum 44780 Bochum, Germany; E-mail: peyerim{at}math.ruhr-uni-bochum.de, www.ruhr-uni-bochum.de/mathematik10/Norbert.html Forschungsstipendiat der Deutschen Forschungsgemeinschaft |
| Abstract: | We study ergodic random Schrödinger operators on a coveringmanifold, where the randomness enters both via the potentialand the metric. We prove measurability of the random operators,almost sure constancy of their spectral properties, the existenceof a self-averaging integrated density of states and a Pastur ubintype trace formula. 2000 Mathematics Subjects Classification35J10, 58J35, 82B44. |
| Keywords: | integrated density of states random metrics random operators Schrö dinger operators on manifolds spectral density |
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