Integrated density of states for random metrics on manifolds

• Autores: Daniel H. Lenz, Norbert Peyerimhoff, Ivan Veselic
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 88, Nº 3, 2004, págs. 733-752
• Idioma: inglés
• DOI: 10.1112/s0024611503014576
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• Resumen

  • 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.