Integrated density of states for ergodic random Schrodinger operators on manifolds

被引：13

作者：

Peyerimhoff, N ^{[1
]}

Veselic, I ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

来源：

GEOMETRIAE DEDICATA | 2002年 / 91卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

integrated density of states; random Schrodinger operators; Riemannian manifolds with compact quotient; amenable groups; ergodic theorem;

D O I：

10.1023/A:1016222913877

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Riemannian universal covering of a compact manifold M = X/Gamma and assume that Gamma is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrodinger operators on X.

引用

页码：117 / 135

页数：19

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