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

共 50 条

[1] Integrated Density of States for Ergodic Random Schrödinger Operators on Manifolds
Norbert Peyerimhoff
Ivan Veselić
Geometriae Dedicata, 2002, 91 : 117 - 135
[2] The integrated density of states for random schrodinger operators
Kirsch, Werner
Metzger, Bernd
SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY: ERGODIC SCHRODINGER OPERATORS, SINGULAR SPECTRUM, ORTHOGONAL POLYNOMIALS, AND INVERSE SPECTRAL THEORY, 2007, 76 : 649 - 696
[3] Existence and regularity properties of the integrated density of states of random Schrodinger operators
EXISTENCE AND REGULARITY PROPERTIES OF THE INTEGRATED DENSITY OF STATES OF RANDOM SCHRODINGER OPERATORS, 2008, 1917 : 1 - +
[4] Regularity of the Density of States of Random Schrodinger Operators
Dolai, Dhriti Ranjan
Krishna, M.
Mallick, Anish
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 378 (01) : 299 - 328
[5] RANDOM SCHRODINGER-OPERATORS AND THE DENSITY OF STATES
KIRSCH, W
LECTURE NOTES IN MATHEMATICS, 1985, 1109 : 68 - 102
[6] The density of states and the spectral shift density of random Schrodinger operators
Kostrykin, V
Schrader, R
REVIEWS IN MATHEMATICAL PHYSICS, 2000, 12 (06) : 807 - 847
[7] ON THE INTEGRATED DENSITY-OF-STATES FOR THE SCHRODINGER-OPERATORS WITH CERTAIN RANDOM ELECTROMAGNETIC POTENTIALS
MATSUMOTO, H
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1993, 45 (02) : 197 - 214
[8] ON THE DENSITY OF STATES OF SCHRODINGER-OPERATORS WITH A RANDOM POTENTIAL
KIRSCH, W
MARTINELLI, F
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (07): : 2139 - 2156
[9] BOUNDS ON THE DENSITY OF STATES OF RANDOM SCHRODINGER-OPERATORS
MAIER, RS
JOURNAL OF STATISTICAL PHYSICS, 1987, 48 (3-4) : 425 - 447
[10] Integrated density of states for random metrics on manifolds
Lenz, D
Peyerimhoff, N
Veselic, I
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2004, 88 : 733 - 752

← 1 2 3 4 5 →