Integrated density of states for random metrics on manifolds
Mathematical Physics
2018-09-28 v1 math.MP
Spectral Theory
Abstract
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.
Cite
@article{arxiv.math-ph/0212058,
title = {Integrated density of states for random metrics on manifolds},
author = {Daniel Lenz and Norbert Peyerimhoff and Ivan Veselic'},
journal= {arXiv preprint arXiv:math-ph/0212058},
year = {2018}
}
Comments
21 pages