Integrated density of states for random metrics on manifolds

Details Integrated density of states for random metrics on manifolds Integrated density of states for random metrics on manifolds

2002-12-19

arxiv.org/abs/math-ph/0212058v1

Physics

Mathematical Physics

21 pages

Scientific paper

We study ergodic random Schr"odinger 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 selfaveraging integrated density of states and a
\v{S}ubin type trace formula.

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