Integrated Density of States for Ergodic Random Schrödinger Operators on Manifolds

被引：0
作者：
Norbert Peyerimhoff
Ivan Veselić
机构：
[1] Ruhr-Universität Bochum,Fakultär für Mathematik
来源：
Geometriae Dedicata | 2002年 / 91卷
关键词：
integrated density of states; random Schrödinger operators; Riemannian manifolds with compact quotient; amenable groups; ergodic theorem;
D O I：
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中图分类号：
学科分类号：
摘要：
We consider the Riemannian universal covering of a compact manifold M = X/Γ and assume that Γ is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X.
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页码：117 / 135
页数：18
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