Integrated density of states for ergodic random Schrödinger operators on manifolds

Details Integrated density of states for ergodic random Schrödinger operators on manifolds Integrated density of states for ergodic random Schrödinger operators on manifolds

2002-10-25

arxiv.org/abs/math-ph/0210047v1

Geometriae Dedicata, 91 (1): 117-135, (2002)

Physics

Mathematical Physics

LaTeX 2e, amsart, 17 pages; appeared in a somewhat different form in Geometriae Dedicata, 91 (1): 117-135, (2002)

Scientific paper

We consider the Riemannian universal covering of a compact manifold $M = X /
\Gamma$ and assume that $\Gamma$ is amenable. We show for an ergodic random
family of Schr\"odinger operators on $X$ the existence of a (non-random)
integrated density of states.

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