Integrated density of states for ergodic random Schr\"odinger operators on manifolds
Mathematical Physics
2016-01-07 v1 math.MP
Spectral Theory
Abstract
We consider the Riemannian universal covering of a compact manifold and assume that is amenable. We show for an ergodic random family of Schr\"odinger operators on the existence of a (non-random) integrated density of states.
Keywords
Cite
@article{arxiv.math-ph/0210047,
title = {Integrated density of states for ergodic random Schr\"odinger operators on manifolds},
author = {Norbert Peyerimhoff and Ivan Veselić},
journal= {arXiv preprint arXiv:math-ph/0210047},
year = {2016}
}
Comments
LaTeX 2e, amsart, 17 pages; appeared in a somewhat different form in Geometriae Dedicata, 91 (1): 117-135, (2002)