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.
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页码：117 / 135
页数：19
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